3257923032 has 160 divisors (see below), whose sum is σ = 11231220000. Its totient is φ = 859216896.

The previous prime is 3257922979. The next prime is 3257923051. The reversal of 3257923032 is 2303297523.

3257923032 is a `hidden beast` number, since 32 + 579 + 23 + 0 + 32 = 666.

It is a super-3 number, since 3×3257923032³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31344 + ... + 86592.

It is an arithmetic number, because the mean of its divisors is an integer number (70195125).

Almost surely, 2^3257923032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3257923032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615610000).

3257923032 is an abundant number, since it is smaller than the sum of its proper divisors (7973296968).

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

3257923032 is a wasteful number, since it uses less digits than its factorization.

3257923032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55287 (or 55274 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3257923032 is about 57078.2185426280. The cubic root of 3257923032 is about 1482.4507471880.

It can be divided in two parts, 32579 and 23032, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 3257923032 in words is "three billion, two hundred fifty-seven million, nine hundred twenty-three thousand, thirty-two".