34015452504 has 128 divisors (see below), whose sum is σ = 94886830080. Its totient is φ = 10073116800.

The previous prime is 34015452469. The next prime is 34015452521. The reversal of 34015452504 is 40525451043.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 10210119 + ... + 10213449.

It is an arithmetic number, because the mean of its divisors is an integer number (741303360).

Almost surely, 2^34015452504 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 34015452504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47443415040).

34015452504 is an abundant number, since it is smaller than the sum of its proper divisors (60871377576).

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

34015452504 is a wasteful number, since it uses less digits than its factorization.

34015452504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 34015452504 in words is "thirty-four billion, fifteen million, four hundred fifty-two thousand, five hundred four".