34693152 has 48 divisors (see below), whose sum is σ = 98078400. Its totient is φ = 10674432.

The previous prime is 34693151. The next prime is 34693157. The reversal of 34693152 is 25139643.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34693152² = 2407229591390208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34693151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12652 + ... + 15147.

It is an arithmetic number, because the mean of its divisors is an integer number (2043300).

Almost surely, 2^34693152 is an apocalyptic number.

34693152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34693152 is an abundant number, since it is smaller than the sum of its proper divisors (63385248).

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

34693152 is a wasteful number, since it uses less digits than its factorization.

34693152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27825 (or 27817 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 34693152 is about 5890.0893032279. The cubic root of 34693152 is about 326.1478998195.

The spelling of 34693152 in words is "thirty-four million, six hundred ninety-three thousand, one hundred fifty-two".