34791796166400 has 1728 divisors, whose sum is σ = 158550880983040. Its totient is φ = 7269079449600.

The previous prime is 34791796166339. The next prime is 34791796166441. The reversal of 34791796166400 is 466169719743.

34791796166400 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 1 + 7 + 9 + 616 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1619643660 + ... + 1619665140.

Almost surely, 2^{34791796166400} is an apocalyptic number.

34791796166400 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 34791796166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79275440491520).

34791796166400 is an abundant number, since it is smaller than the sum of its proper divisors (123759084816640).

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

34791796166400 is a wasteful number, since it uses less digits than its factorization.

34791796166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21639 (or 21614 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 34791796166400 in words is "thirty-four trillion, seven hundred ninety-one billion, seven hundred ninety-six million, one hundred sixty-six thousand, four hundred".