3972364800 has 480 divisors, whose sum is σ = 14028816384. Its totient is φ = 989184000.

The previous prime is 3972364783. The next prime is 3972364819. The reversal of 3972364800 is 84632793.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55948765 + ... + 55948835.

Almost surely, 2^3972364800 is an apocalyptic number.

3972364800 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 3972364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014408192).

3972364800 is an abundant number, since it is smaller than the sum of its proper divisors (10056451584).

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

3972364800 is a wasteful number, since it uses less digits than its factorization.

3972364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3972364800 is about 63026.6991044272. The cubic root of 3972364800 is about 1583.7369219249.

The spelling of 3972364800 in words is "three billion, nine hundred seventy-two million, three hundred sixty-four thousand, eight hundred".