3952406404800 has 2520 divisors, whose sum is σ = 18486964222848. Its totient is φ = 822140928000.

The previous prime is 3952406404787. The next prime is 3952406404861. The reversal of 3952406404800 is 84046042593.

3952406404800 is a `hidden beast` number, since 3 + 9 + 524 + 0 + 6 + 40 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×3952406404800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3346660210 + ... + 3346661390.

Almost surely, 2^{3952406404800} is an apocalyptic number.

3952406404800 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 3952406404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243482111424).

3952406404800 is an abundant number, since it is smaller than the sum of its proper divisors (14534557818048).

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

3952406404800 is a wasteful number, since it uses less digits than its factorization.

3952406404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3952406404800 in words is "three trillion, nine hundred fifty-two billion, four hundred six million, four hundred four thousand, eight hundred".