34301968646400 has 1296 divisors, whose sum is σ = 156529139521664. Its totient is φ = 7237308579840.

The previous prime is 34301968646389. The next prime is 34301968646471. The reversal of 34301968646400 is 464686910343.

It is a happy number.

34301968646400 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 196 + 8 + 6 + 46 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141402012 + ... + 141644388.

Almost surely, 2^{34301968646400} is an apocalyptic number.

34301968646400 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 34301968646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78264569760832).

34301968646400 is an abundant number, since it is smaller than the sum of its proper divisors (122227170875264).

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

34301968646400 is a wasteful number, since it uses less digits than its factorization.

34301968646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242438 (or 242407 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 34301968646400 in words is "thirty-four trillion, three hundred one billion, nine hundred sixty-eight million, six hundred forty-six thousand, four hundred".