34954792704 has 288 divisors, whose sum is σ = 112907289600. Its totient is φ = 10601902080.

The previous prime is 34954792673. The next prime is 34954792711. The reversal of 34954792704 is 40729745943.

34954792704 is a `hidden beast` number, since 3 + 4 + 9 + 547 + 92 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34954792704² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6377037 + ... + 6382515.

It is an arithmetic number, because the mean of its divisors is an integer number (392039200).

Almost surely, 2^34954792704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34954792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56453644800).

34954792704 is an abundant number, since it is smaller than the sum of its proper divisors (77952496896).

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

34954792704 is a wasteful number, since it uses less digits than its factorization.

34954792704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 34954792704 in words is "thirty-four billion, nine hundred fifty-four million, seven hundred ninety-two thousand, seven hundred four".