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3738464928 = 2534111967103
BaseRepresentation
bin1101111011010100…
…0111001010100000
3100122112120200210000
43132311013022200
530124021334203
61414544140000
7161433266442
oct33665071240
910575520700
103738464928
1116492a2040
12884007600
134776a0833
14276714492
1516d3134a3
hexded472a0

3738464928 has 480 divisors, whose sum is σ = 12938365440. Its totient is φ = 1046960640.

The previous prime is 3738464927. The next prime is 3738464957. The reversal of 3738464928 is 8294648373.

3738464928 is a `hidden beast` number, since 3 + 73 + 84 + 6 + 492 + 8 = 666.

3738464928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37384649282 = 27952240035772090368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3738464923) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36295725 + ... + 36295827.

It is an arithmetic number, because the mean of its divisors is an integer number (26954928).

Almost surely, 23738464928 is an apocalyptic number.

3738464928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469182720).

3738464928 is an abundant number, since it is smaller than the sum of its proper divisors (9199900512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3738464928 is a wasteful number, since it uses less digits than its factorization.

3738464928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3738464928 is about 61142.9875619437. The cubic root of 3738464928 is about 1552.0216323552.

The spelling of 3738464928 in words is "three billion, seven hundred thirty-eight million, four hundred sixty-four thousand, nine hundred twenty-eight".