34345792 has 28 divisors (see below), whose sum is σ = 73399396. Its totient is φ = 15851520.

The previous prime is 34345789. The next prime is 34345807. The reversal of 34345792 is 29754343.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 24760576 = 3096^2 + 4976^2 .

It is a super-3 number, since 3×34345792³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19809 + ... + 21472.

It is an arithmetic number, because the mean of its divisors is an integer number (2621407).

Almost surely, 2^34345792 is an apocalyptic number.

34345792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34345792 is an abundant number, since it is smaller than the sum of its proper divisors (39053604).

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

34345792 is a wasteful number, since it uses less digits than its factorization.

34345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41306 (or 41296 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 34345792 is about 5860.5283038306. The cubic root of 34345792 is about 325.0557442843.

The spelling of 34345792 in words is "thirty-four million, three hundred forty-five thousand, seven hundred ninety-two".