34972992 has 112 divisors (see below), whose sum is σ = 105785920. Its totient is φ = 11321856.

The previous prime is 34972969. The next prime is 34972999. The reversal of 34972992 is 29927943.

It is a super-2 number, since 2×34972992² = 2446220338864128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34972999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63663 + ... + 64209.

Almost surely, 2^34972992 is an apocalyptic number.

34972992 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 34972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52892960).

34972992 is an abundant number, since it is smaller than the sum of its proper divisors (70812928).

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

34972992 is a wasteful number, since it uses less digits than its factorization.

34972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 589 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 34972992 is about 5913.7967499737. The cubic root of 34972992 is about 327.0224713116.

The spelling of 34972992 in words is "thirty-four million, nine hundred seventy-two thousand, nine hundred ninety-two".