3204752040 has 768 divisors, whose sum is σ = 13544294400. Its totient is φ = 665127936.

The previous prime is 3204752027. The next prime is 3204752053. The reversal of 3204752040 is 402574023.

It is an interprime number because it is at equal distance from previous prime (3204752027) and next prime (3204752053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3204751995 and 3204752013.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47832087 + ... + 47832153.

It is an arithmetic number, because the mean of its divisors is an integer number (17635800).

Almost surely, 2^3204752040 is an apocalyptic number.

3204752040 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 3204752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772147200).

3204752040 is an abundant number, since it is smaller than the sum of its proper divisors (10339542360).

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

3204752040 is a wasteful number, since it uses less digits than its factorization.

3204752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3204752040 is about 56610.5294092892. The cubic root of 3204752040 is about 1474.3416830525.

The spelling of 3204752040 in words is "three billion, two hundred four million, seven hundred fifty-two thousand, forty".