34575914916 has 81 divisors (see below), whose sum is σ = 92894799361. Its totient is φ = 10841395584.

The previous prime is 34575914903. The next prime is 34575914921. The reversal of 34575914916 is 61941957543.

The square root of 34575914916 is 185946.

It is a perfect power (a square), and thus also a powerful number.

34575914916 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 591 + 49 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26918964900 + 7656950016 = 164070^2 + 87504^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18965581 + ... + 18967403.

Almost surely, 2^34575914916 is an apocalyptic number.

34575914916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34575914916 is the 185946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34575914916

34575914916 is an abundant number, since it is smaller than the sum of its proper divisors (58318884445).

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

34575914916 is a wasteful number, since it uses less digits than its factorization.

34575914916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 1845 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 34575914916 in words is "thirty-four billion, five hundred seventy-five million, nine hundred fourteen thousand, nine hundred sixteen".