3446572032 has 264 divisors, whose sum is σ = 10878576800. Its totient is φ = 1088391168.

The previous prime is 3446572007. The next prime is 3446572067. The reversal of 3446572032 is 2302756443.

3446572032 is a `hidden beast` number, since 3 + 446 + 5 + 7 + 203 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181398519 + ... + 181398537.

Almost surely, 2^3446572032 is an apocalyptic number.

3446572032 is a gapful number since it is divisible by the number (32) 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 3446572032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439288400).

3446572032 is an abundant number, since it is smaller than the sum of its proper divisors (7432004768).

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

3446572032 is an frugal number, since it uses more digits than its factorization.

3446572032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3446572032 is about 58707.5125686653. The cubic root of 3446572032 is about 1510.5291819511.

The spelling of 3446572032 in words is "three billion, four hundred forty-six million, five hundred seventy-two thousand, thirty-two".