34190673264 has 240 divisors, whose sum is σ = 110641489920. Its totient is φ = 10025251200.

The previous prime is 34190673247. The next prime is 34190673281. The reversal of 34190673264 is 46237609143.

It is an interprime number because it is at equal distance from previous prime (34190673247) and next prime (34190673281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4562929 + ... + 4570415.

It is an arithmetic number, because the mean of its divisors is an integer number (461006208).

Almost surely, 2^34190673264 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 34190673264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55320744960).

34190673264 is an abundant number, since it is smaller than the sum of its proper divisors (76450816656).

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

34190673264 is a wasteful number, since it uses less digits than its factorization.

34190673264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7577 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34190673264 in words is "thirty-four billion, one hundred ninety million, six hundred seventy-three thousand, two hundred sixty-four".