3204137640 has 128 divisors (see below), whose sum is σ = 10553742720. Its totient is φ = 771763200.

The previous prime is 3204137639. The next prime is 3204137653. The reversal of 3204137640 is 467314023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3204137598 and 3204137607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199510 + ... + 214970.

It is an arithmetic number, because the mean of its divisors is an integer number (82451115).

Almost surely, 2^3204137640 is an apocalyptic number.

3204137640 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 3204137640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276871360).

3204137640 is an abundant number, since it is smaller than the sum of its proper divisors (7349605080).

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

3204137640 is a wasteful number, since it uses less digits than its factorization.

3204137640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15643 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3204137640 is about 56605.1025968508. The cubic root of 3204137640 is about 1474.2474590780.

The spelling of 3204137640 in words is "three billion, two hundred four million, one hundred thirty-seven thousand, six hundred forty".