3952972800 has 1056 divisors, whose sum is σ = 17869491200. Its totient is φ = 836075520.

The previous prime is 3952972799. The next prime is 3952972817. The reversal of 3952972800 is 82792593.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91929579 + ... + 91929621.

Almost surely, 2^3952972800 is an apocalyptic number.

3952972800 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 3952972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934745600).

3952972800 is an abundant number, since it is smaller than the sum of its proper divisors (13916518400).

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

3952972800 is a wasteful number, since it uses less digits than its factorization.

3952972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3952972800 is about 62872.6713286464. The cubic root of 3952972800 is about 1581.1555932117.

The spelling of 3952972800 in words is "three billion, nine hundred fifty-two million, nine hundred seventy-two thousand, eight hundred".