3952792800 has 432 divisors, whose sum is σ = 15739148880. Its totient is φ = 924672000.

The previous prime is 3952792763. The next prime is 3952792807. The reversal of 3952792800 is 82972593.

3952792800 is a `hidden beast` number, since 39 + 527 + 92 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952792807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2295940 + ... + 2297660.

It is an arithmetic number, because the mean of its divisors is an integer number (36433215).

Almost surely, 2^3952792800 is an apocalyptic number.

3952792800 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 3952792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869574440).

3952792800 is an abundant number, since it is smaller than the sum of its proper divisors (11786356080).

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

3952792800 is a wasteful number, since it uses less digits than its factorization.

3952792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1771 counting only the distinct ones).

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

The square root of 3952792800 is about 62871.2398478032. The cubic root of 3952792800 is about 1581.1315933563.

The spelling of 3952792800 in words is "three billion, nine hundred fifty-two million, seven hundred ninety-two thousand, eight hundred".