34457640 has 256 divisors, whose sum is σ = 132710400. Its totient is φ = 6967296.

The previous prime is 34457639. The next prime is 34457669. The reversal of 34457640 is 4675443.

It is a happy number.

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, 271257 + ... + 271383.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 2^34457640 is an apocalyptic number.

34457640 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 34457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

34457640 is an abundant number, since it is smaller than the sum of its proper divisors (98252760).

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

34457640 is a wasteful number, since it uses less digits than its factorization.

34457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 34457640 is about 5870.0630320296. The cubic root of 34457640 is about 325.4082128920.

The spelling of 34457640 in words is "thirty-four million, four hundred fifty-seven thousand, six hundred forty".