34685952 has 88 divisors (see below), whose sum is σ = 105723456. Its totient is φ = 9904128.

The previous prime is 34685929. The next prime is 34685969. The reversal of 34685952 is 25958643.

It is a super-2 number, since 2×34685952² = 2406230532292608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20698 + ... + 22310.

Almost surely, 2^34685952 is an apocalyptic number.

34685952 is a gapful number since it is divisible by the number (32) 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 34685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52861728).

34685952 is an abundant number, since it is smaller than the sum of its proper divisors (71037504).

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

34685952 is a wasteful number, since it uses less digits than its factorization.

34685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1625 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 34685952 is about 5889.4780753476. The cubic root of 34685952 is about 326.1253360260.

The spelling of 34685952 in words is "thirty-four million, six hundred eighty-five thousand, nine hundred fifty-two".