396107323200 has 672 divisors, whose sum is σ = 1480362393600. Its totient is φ = 102999029760.

The previous prime is 396107323109. The next prime is 396107323229. The reversal of 396107323200 is 2323701693.

396107323200 is a `hidden beast` number, since 3 + 9 + 610 + 7 + 3 + 2 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×396107323200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 309700161 + ... + 309701439.

Almost surely, 2^396107323200 is an apocalyptic number.

396107323200 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 396107323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740181196800).

396107323200 is an abundant number, since it is smaller than the sum of its proper divisors (1084255070400).

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

396107323200 is a wasteful number, since it uses less digits than its factorization.

396107323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 396107323200 in words is "three hundred ninety-six billion, one hundred seven million, three hundred twenty-three thousand, two hundred".