34792992 has 72 divisors (see below), whose sum is σ = 106565004. Its totient is φ = 10704384.

The previous prime is 34792991. The next prime is 34793021. The reversal of 34792992 is 29929743.

It can be written as a sum of positive squares in 2 ways, for example, as 28259856 + 6533136 = 5316^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (34792991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903 + ... + 8390.

Almost surely, 2^34792992 is an apocalyptic number.

34792992 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 34792992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53282502).

34792992 is an abundant number, since it is smaller than the sum of its proper divisors (71772012).

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

34792992 is a wasteful number, since it uses less digits than its factorization.

34792992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9311 counting only the distinct ones).

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

The square root of 34792992 is about 5898.5584679649. The cubic root of 34792992 is about 326.4604631358.

It can be divided in two parts, 347 and 92992, that added together give a palindrome (93339).

The spelling of 34792992 in words is "thirty-four million, seven hundred ninety-two thousand, nine hundred ninety-two".