34965630 has 48 divisors (see below), whose sum is σ = 103899744. Its totient is φ = 7992000.

The previous prime is 34965607. The next prime is 34965631. The reversal of 34965630 is 3656943.

34965630 is a `hidden beast` number, since 3 + 4 + 96 + 563 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34965631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27121 + ... + 28380.

It is an arithmetic number, because the mean of its divisors is an integer number (2164578).

Almost surely, 2^34965630 is an apocalyptic number.

34965630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34965630 is an abundant number, since it is smaller than the sum of its proper divisors (68934114).

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

34965630 is a wasteful number, since it uses less digits than its factorization.

34965630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55521 (or 55518 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 34965630 is about 5913.1742744485. The cubic root of 34965630 is about 326.9995230473. Note that the first 3 decimals are identical.

The spelling of 34965630 in words is "thirty-four million, nine hundred sixty-five thousand, six hundred thirty".