34972523520 has 528 divisors, whose sum is σ = 127125970944. Its totient is φ = 8191180800.

The previous prime is 34972523503. The next prime is 34972523533. The reversal of 34972523520 is 2532527943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

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, 57615057 + ... + 57615663.

Almost surely, 2^34972523520 is an apocalyptic number.

34972523520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34972523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63562985472).

34972523520 is an abundant number, since it is smaller than the sum of its proper divisors (92153447424).

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

34972523520 is a wasteful number, since it uses less digits than its factorization.

34972523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 34972523520 in words is "thirty-four billion, nine hundred seventy-two million, five hundred twenty-three thousand, five hundred twenty".