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3724081920 = 2836513307
BaseRepresentation
bin1101110111111000…
…1111101100000000
3100121112111222000000
43131332033230000
530111331110140
61413312000000
7161200113456
oct33576175400
910545458000
103724081920
111641168959
1287b230000
13474705c90
1427484c9d6
1516be21a30
hexddf8fb00

3724081920 has 504 divisors, whose sum is σ = 14450107056. Its totient is φ = 913711104.

The previous prime is 3724081877. The next prime is 3724081927. The reversal of 3724081920 is 291804273.

It is a super-2 number, since 2×37240819202 = 27737572293741772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3724081927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12130407 + ... + 12130713.

Almost surely, 23724081920 is an apocalyptic number.

3724081920 is a gapful number since it is divisible by the number (30) 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 3724081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225053528).

3724081920 is an abundant number, since it is smaller than the sum of its proper divisors (10726025136).

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

3724081920 is an equidigital number, since it uses as much as digits as its factorization.

3724081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3724081920 is about 61025.2564107682. The cubic root of 3724081920 is about 1550.0287084520.

The spelling of 3724081920 in words is "three billion, seven hundred twenty-four million, eighty-one thousand, nine hundred twenty".