34949408 has 48 divisors (see below), whose sum is σ = 76681080. Its totient is φ = 15568896.

The previous prime is 34949357. The next prime is 34949429. The reversal of 34949408 is 80494943.

It can be written as a sum of positive squares in 4 ways, for example, as 17073424 + 17875984 = 4132^2 + 4228^2 .

It is a super-2 number, since 2×34949408² = 2442922239100928, which contains 22 as substring.

It is a congruent number.

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, 10616 + ... + 13512.

Almost surely, 2^34949408 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 34949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38340540).

34949408 is an abundant number, since it is smaller than the sum of its proper divisors (41731672).

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

34949408 is a wasteful number, since it uses less digits than its factorization.

34949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 34949408 is about 5911.8024324228. The cubic root of 34949408 is about 326.9489456964.

The spelling of 34949408 in words is "thirty-four million, nine hundred forty-nine thousand, four hundred eight".