3962552630400 has 4608 divisors, whose sum is σ = 20153910067200. Its totient is φ = 716636160000.

The previous prime is 3962552630353. The next prime is 3962552630411. The reversal of 3962552630400 is 40362552693.

3962552630400 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 5 + 5 + 2 + 630 + 4 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26242070325 + ... + 26242070475.

It is an arithmetic number, because the mean of its divisors is an integer number (4373678400).

Almost surely, 2^{3962552630400} is an apocalyptic number.

3962552630400 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 3962552630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076955033600).

3962552630400 is an abundant number, since it is smaller than the sum of its proper divisors (16191357436800).

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

3962552630400 is a wasteful number, since it uses less digits than its factorization.

3962552630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3962552630400 in words is "three trillion, nine hundred sixty-two billion, five hundred fifty-two million, six hundred thirty thousand, four hundred".