34929144 has 80 divisors (see below), whose sum is σ = 103019400. Its totient is φ = 11026368.

The previous prime is 34929119. The next prime is 34929161. The reversal of 34929144 is 44192943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34929099 and 34929108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10894 + ... + 13730.

Almost surely, 2^34929144 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 34929144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51509700).

34929144 is an abundant number, since it is smaller than the sum of its proper divisors (68090256).

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

34929144 is a wasteful number, since it uses less digits than its factorization.

34929144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2861 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34929144 is about 5910.0883242131. The cubic root of 34929144 is about 326.8857441078.

The spelling of 34929144 in words is "thirty-four million, nine hundred twenty-nine thousand, one hundred forty-four".