34657440 has 96 divisors (see below), whose sum is σ = 110388096. Its totient is φ = 9139200.

The previous prime is 34657429. The next prime is 34657453. The reversal of 34657440 is 4475643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34657440² = 2402276294707200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49090 + ... + 49790.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 2^34657440 is an apocalyptic number.

34657440 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 34657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55194048).

34657440 is an abundant number, since it is smaller than the sum of its proper divisors (75730656).

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

34657440 is a wasteful number, since it uses less digits than its factorization.

34657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

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

The square root of 34657440 is about 5887.0569897021. The cubic root of 34657440 is about 326.0359527262.

The spelling of 34657440 in words is "thirty-four million, six hundred fifty-seven thousand, four hundred forty".