3872921600 has 144 divisors (see below), whose sum is σ = 9754453800. Its totient is φ = 1524695040.

The previous prime is 3872921593. The next prime is 3872921641. The reversal of 3872921600 is 61292783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3429836 + ... + 3430964.

Almost surely, 2^3872921600 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 3872921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877226900).

3872921600 is an abundant number, since it is smaller than the sum of its proper divisors (5881532200).

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

3872921600 is a wasteful number, since it uses less digits than its factorization.

3872921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 3872921600 is about 62232.8016402926. The cubic root of 3872921600 is about 1570.4094568105.

The spelling of 3872921600 in words is "three billion, eight hundred seventy-two million, nine hundred twenty-one thousand, six hundred".