34692840 has 256 divisors, whose sum is σ = 142732800. Its totient is φ = 7299072.

The previous prime is 34692829. The next prime is 34692857. The reversal of 34692840 is 4829643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34692795 and 34692804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98104 + ... + 98456.

It is an arithmetic number, because the mean of its divisors is an integer number (557550).

Almost surely, 2^34692840 is an apocalyptic number.

34692840 is a gapful number since it is divisible by the number (30) 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 34692840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366400).

34692840 is an abundant number, since it is smaller than the sum of its proper divisors (108039960).

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

34692840 is a wasteful number, since it uses less digits than its factorization.

34692840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34692840 is about 5890.0628180012. The cubic root of 34692840 is about 326.1469221198.

The spelling of 34692840 in words is "thirty-four million, six hundred ninety-two thousand, eight hundred forty".