34541351504 has 80 divisors (see below), whose sum is σ = 74432694336. Its totient is φ = 15395788800.

The previous prime is 34541351503. The next prime is 34541351521. The reversal of 34541351504 is 40515314543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34541351503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3613259 + ... + 3622805.

Almost surely, 2^34541351504 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 34541351504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37216347168).

34541351504 is an abundant number, since it is smaller than the sum of its proper divisors (39891342832).

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

34541351504 is a wasteful number, since it uses less digits than its factorization.

34541351504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 34541351504 in words is "thirty-four billion, five hundred forty-one million, three hundred fifty-one thousand, five hundred four".