34629640 has 16 divisors (see below), whose sum is σ = 77916780. Its totient is φ = 13851840.

The previous prime is 34629631. The next prime is 34629649. The reversal of 34629640 is 4692643.

It is an interprime number because it is at equal distance from previous prime (34629631) and next prime (34629649).

It can be written as a sum of positive squares in 2 ways, for example, as 31787044 + 2842596 = 5638^2 + 1686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34629596 and 34629605.

It is not an unprimeable number, because it can be changed into a prime (34629649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 432831 + ... + 432910.

Almost surely, 2^34629640 is an apocalyptic number.

It is an amenable number.

34629640 is an abundant number, since it is smaller than the sum of its proper divisors (43287140).

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

34629640 is a wasteful number, since it uses less digits than its factorization.

34629640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865752 (or 865748 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 34629640 is about 5884.6954041819. The cubic root of 34629640 is about 325.9487542869.

The spelling of 34629640 in words is "thirty-four million, six hundred twenty-nine thousand, six hundred forty".