346968211010400 has 216 divisors, whose sum is σ = 1398281890575024. Its totient is φ = 79307019648000.

The previous prime is 346968211010363. The next prime is 346968211010431. The reversal of 346968211010400 is 4010112869643.

346968211010400 is a `hidden beast` number, since 3 + 4 + 69 + 6 + 82 + 1 + 101 + 0 + 400 = 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 35 ways as a sum of consecutive naturals, for example, 3442094551 + ... + 3442195350.

Almost surely, 2^{346968211010400} is an apocalyptic number.

346968211010400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346968211010400 is an abundant number, since it is smaller than the sum of its proper divisors (1051313679564624).

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

346968211010400 is a wasteful number, since it uses less digits than its factorization.

346968211010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884289934 (or 6884289918 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 346968211010400 in words is "three hundred forty-six trillion, nine hundred sixty-eight billion, two hundred eleven million, ten thousand, four hundred".