34964013552 has 160 divisors (see below), whose sum is σ = 98697807936. Its totient is φ = 10601472000.

The previous prime is 34964013529. The next prime is 34964013607. The reversal of 34964013552 is 25531046943.

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, 14683402 + ... + 14685782.

Almost surely, 2^34964013552 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 34964013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49348903968).

34964013552 is an abundant number, since it is smaller than the sum of its proper divisors (63733794384).

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

34964013552 is a wasteful number, since it uses less digits than its factorization.

34964013552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 34964013552 in words is "thirty-four billion, nine hundred sixty-four million, thirteen thousand, five hundred fifty-two".