34946094404000 has 192 divisors, whose sum is σ = 97906625080992. Its totient is φ = 12144162816000.

The previous prime is 34946094403981. The next prime is 34946094404041. The reversal of 34946094404000 is 40449064943.

It can be written as a sum of positive squares in 16 ways, for example, as 23336839696 + 34922757564304 = 152764^2 + 5909548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18881891 + ... + 20649890.

Almost surely, 2^{34946094404000} is an apocalyptic number.

It is an amenable number.

34946094404000 is an abundant number, since it is smaller than the sum of its proper divisors (62960530676992).

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

34946094404000 is a wasteful number, since it uses less digits than its factorization.

34946094404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39531836 (or 39531818 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 34946094404000 in words is "thirty-four trillion, nine hundred forty-six billion, ninety-four million, four hundred four thousand".