34349872 has 40 divisors (see below), whose sum is σ = 70474160. Its totient is φ = 16219008.

The previous prime is 34349857. The next prime is 34349881. The reversal of 34349872 is 27894343.

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

Its product of digits (145152) is a multiple of the sum of its prime factors (378).

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, 109588 + ... + 109900.

It is an arithmetic number, because the mean of its divisors is an integer number (1761854).

Almost surely, 2^34349872 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 34349872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35237080).

34349872 is an abundant number, since it is smaller than the sum of its proper divisors (36124288).

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

34349872 is an equidigital number, since it uses as much as digits as its factorization.

34349872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 334 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 34349872 is about 5860.8763849786. The cubic root of 34349872 is about 325.0686150985.

The spelling of 34349872 in words is "thirty-four million, three hundred forty-nine thousand, eight hundred seventy-two".