34800992 has 24 divisors (see below), whose sum is σ = 68707800. Its totient is φ = 17351424.

The previous prime is 34800991. The next prime is 34801021. The reversal of 34800992 is 29900843.

It is a super-3 number, since 3×34800992³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11759 + ... + 14417.

It is an arithmetic number, because the mean of its divisors is an integer number (2862825).

Almost surely, 2^34800992 is an apocalyptic number.

34800992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34800992 is a deficient number, since it is larger than the sum of its proper divisors (33906808).

34800992 is a wasteful number, since it uses less digits than its factorization.

34800992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 34800992 is about 5899.2365607763. The cubic root of 34800992 is about 326.4854823845.

The spelling of 34800992 in words is "thirty-four million, eight hundred thousand, nine hundred ninety-two".