3872332800 has 594 divisors, whose sum is σ = 16175443128. Its totient is φ = 885104640.

The previous prime is 3872332771. The next prime is 3872332813. The reversal of 3872332800 is 82332783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×3872332800² = 29989922627911680000, which contains 22 as substring.

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 53 ways as a sum of consecutive naturals, for example, 553190397 + ... + 553190403.

Almost surely, 2^3872332800 is an apocalyptic number.

3872332800 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 3872332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087721564).

3872332800 is an abundant number, since it is smaller than the sum of its proper divisors (12303110328).

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

3872332800 is an frugal number, since it uses more digits than its factorization.

3872332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3872332800 is about 62228.0708362392. The cubic root of 3872332800 is about 1570.3298696972.

The spelling of 3872332800 in words is "three billion, eight hundred seventy-two million, three hundred thirty-two thousand, eight hundred".