34905640 has 96 divisors (see below), whose sum is σ = 99727200. Its totient is φ = 10872960.

The previous prime is 34905617. The next prime is 34905667. The reversal of 34905640 is 4650943.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20751 + ... + 22369.

It is an arithmetic number, because the mean of its divisors is an integer number (1038825).

Almost surely, 2^34905640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34905640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49863600).

34905640 is an abundant number, since it is smaller than the sum of its proper divisors (64821560).

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

34905640 is a wasteful number, since it uses less digits than its factorization.

34905640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 34905640 is about 5908.0995252281. The cubic root of 34905640 is about 326.8124066248.

The spelling of 34905640 in words is "thirty-four million, nine hundred five thousand, six hundred forty".