3239879040 has 512 divisors, whose sum is σ = 12492144000. Its totient is φ = 790364160.

The previous prime is 3239879039. The next prime is 3239879051. The reversal of 3239879040 is 409789323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12044026 + ... + 12044294.

Almost surely, 2^3239879040 is an apocalyptic number.

3239879040 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 3239879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246072000).

3239879040 is an abundant number, since it is smaller than the sum of its proper divisors (9252264960).

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

3239879040 is a wasteful number, since it uses less digits than its factorization.

3239879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3239879040 is about 56919.9353478199. The cubic root of 3239879040 is about 1479.7088299856.

The spelling of 3239879040 in words is "three billion, two hundred thirty-nine million, eight hundred seventy-nine thousand, forty".