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3475685376 = 2143797
BaseRepresentation
bin1100111100101010…
…1100000000000000
322222020010010000000
43033022230000000
524104233413001
61332520000000
7152062560342
oct31712540000
98866103000
103475685376
111523a2a959
12810000000
13435105387
1424d86d292
15155207a86
hexcf2ac000

3475685376 has 240 divisors, whose sum is σ = 10532624480. Its totient is φ = 1146617856.

The previous prime is 3475685363. The next prime is 3475685383. The reversal of 3475685376 is 6735865743.

3475685376 is a `hidden beast` number, since 3 + 4 + 7 + 568 + 5 + 3 + 76 = 666.

It is a super-2 number, since 2×34756853762 = 24160777665880522752, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35831760 + ... + 35831856.

Almost surely, 23475685376 is an apocalyptic number.

3475685376 is a gapful number since it is divisible by the number (36) 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 3475685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266312240).

3475685376 is an abundant number, since it is smaller than the sum of its proper divisors (7056939104).

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

3475685376 is an frugal number, since it uses more digits than its factorization.

3475685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 3475685376 is about 58954.9436095057. The cubic root of 3475685376 is about 1514.7704308556.

The spelling of 3475685376 in words is "three billion, four hundred seventy-five million, six hundred eighty-five thousand, three hundred seventy-six".