3721122332928 has 1440 divisors, whose sum is σ = 15380972716032. Its totient is φ = 863247974400.

The previous prime is 3721122332867. The next prime is 3721122332951. The reversal of 3721122332928 is 8292332211273.

3721122332928 is a `hidden beast` number, since 3 + 72 + 11 + 223 + 329 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 643455925 + ... + 643461707.

Almost surely, 2^{3721122332928} 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 3721122332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690486358016).

3721122332928 is an abundant number, since it is smaller than the sum of its proper divisors (11659850383104).

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

3721122332928 is a wasteful number, since it uses less digits than its factorization.

3721122332928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5850 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 3721122332928 in words is "three trillion, seven hundred twenty-one billion, one hundred twenty-two million, three hundred thirty-two thousand, nine hundred twenty-eight".