34629012 has 96 divisors (see below), whose sum is σ = 99240960. Its totient is φ = 10355040.

The previous prime is 34628977. The next prime is 34629013. The reversal of 34629012 is 21092643.

34629012 is a `hidden beast` number, since 34 + 629 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×34629012² = 2398336944192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34629013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122223 + ... + 122505.

It is an arithmetic number, because the mean of its divisors is an integer number (1033760).

Almost surely, 2^34629012 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 34629012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49620480).

34629012 is an abundant number, since it is smaller than the sum of its proper divisors (64611948).

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

34629012 is a wasteful number, since it uses less digits than its factorization.

34629012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34629012 is about 5884.6420451885. The cubic root of 34629012 is about 325.9467839415.

The spelling of 34629012 in words is "thirty-four million, six hundred twenty-nine thousand, twelve".