34013523950 has 72 divisors (see below), whose sum is σ = 75968334144. Its totient is φ = 11285568000.

The previous prime is 34013523923. The next prime is 34013523961. The reversal of 34013523950 is 5932531043.

It is a super-2 number, since 2×34013523950² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34013523950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147971 + ... + 299870.

It is an arithmetic number, because the mean of its divisors is an integer number (1055115752).

Almost surely, 2^34013523950 is an apocalyptic number.

34013523950 is an abundant number, since it is smaller than the sum of its proper divisors (41954810194).

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

34013523950 is a wasteful number, since it uses less digits than its factorization.

34013523950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447898 (or 447886 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 34013523950 in words is "thirty-four billion, thirteen million, five hundred twenty-three thousand, nine hundred fifty".