34631640 has 48 divisors (see below), whose sum is σ = 112554000. Its totient is φ = 9235008.

The previous prime is 34631633. The next prime is 34631647. The reversal of 34631640 is 4613643.

34631640 is a `hidden beast` number, since 346 + 316 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34631633) and next prime (34631647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34631647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47740 + ... + 48459.

It is an arithmetic number, because the mean of its divisors is an integer number (2344875).

Almost surely, 2^34631640 is an apocalyptic number.

34631640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34631640 is an abundant number, since it is smaller than the sum of its proper divisors (77922360).

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

34631640 is a wasteful number, since it uses less digits than its factorization.

34631640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96216 (or 96209 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34631640 is about 5884.8653340582. The cubic root of 34631640 is about 325.9550291135.

The spelling of 34631640 in words is "thirty-four million, six hundred thirty-one thousand, six hundred forty".