34936992 has 36 divisors (see below), whose sum is σ = 99352890. Its totient is φ = 11645568.

The previous prime is 34936981. The next prime is 34936999. The reversal of 34936992 is 29963943.

It can be written as a sum of positive squares in only one way, i.e., 20466576 + 14470416 = 4524^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34936999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60367 + ... + 60942.

Almost surely, 2^34936992 is an apocalyptic number.

34936992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34936992 is an abundant number, since it is smaller than the sum of its proper divisors (64415898).

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

34936992 is a wasteful number, since it uses less digits than its factorization.

34936992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121325 (or 121314 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 34936992 is about 5910.7522363909. The cubic root of 34936992 is about 326.9102242116.

The spelling of 34936992 in words is "thirty-four million, nine hundred thirty-six thousand, nine hundred ninety-two".