34633013504 has 144 divisors (see below), whose sum is σ = 74266859520. Its totient is φ = 16087818240.

The previous prime is 34633013489. The next prime is 34633013573. The reversal of 34633013504 is 40531033643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23196182 + ... + 23197674.

It is an arithmetic number, because the mean of its divisors is an integer number (515742080).

Almost surely, 2^34633013504 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 34633013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37133429760).

34633013504 is an abundant number, since it is smaller than the sum of its proper divisors (39633846016).

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

34633013504 is a wasteful number, since it uses less digits than its factorization.

34633013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The spelling of 34633013504 in words is "thirty-four billion, six hundred thirty-three million, thirteen thousand, five hundred four".