396347107010400 has 2592 divisors, whose sum is σ = 1778495501502720. Its totient is φ = 82309962792960.

The previous prime is 396347107010357. The next prime is 396347107010411. The reversal of 396347107010400 is 4010701743693.

396347107010400 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 471 + 0 + 70 + 104 + 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 an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 225325244721 + ... + 225325246479.

Almost surely, 2^{396347107010400} is an apocalyptic number.

396347107010400 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 396347107010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889247750751360).

396347107010400 is an abundant number, since it is smaller than the sum of its proper divisors (1382148394492320).

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

396347107010400 is a wasteful number, since it uses less digits than its factorization.

396347107010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 396347107010400 in words is "three hundred ninety-six trillion, three hundred forty-seven billion, one hundred seven million, ten thousand, four hundred".