34874496 has 64 divisors (see below), whose sum is σ = 102938400. Its totient is φ = 11623680.

The previous prime is 34874479. The next prime is 34874513. The reversal of 34874496 is 69447843.

It is an interprime number because it is at equal distance from previous prime (34874479) and next prime (34874513).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1590 + ... + 8501.

Almost surely, 2^34874496 is an apocalyptic number.

34874496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51469200).

34874496 is an abundant number, since it is smaller than the sum of its proper divisors (68063904).

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

34874496 is a wasteful number, since it uses less digits than its factorization.

34874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10096 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 34874496 is about 5905.4632333120. The cubic root of 34874496 is about 326.7151799854.

The spelling of 34874496 in words is "thirty-four million, eight hundred seventy-four thousand, four hundred ninety-six".