34959408 has 80 divisors (see below), whose sum is σ = 99981696. Its totient is φ = 10437120.

The previous prime is 34959403. The next prime is 34959409. The reversal of 34959408 is 80495943.

It is a self number, because there is not a number n which added to its sum of digits gives 34959408.

It is not an unprimeable number, because it can be changed into a prime (34959403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38091 + ... + 38997.

Almost surely, 2^34959408 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 34959408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990848).

34959408 is an abundant number, since it is smaller than the sum of its proper divisors (65022288).

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

34959408 is a wasteful number, since it uses less digits than its factorization.

34959408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 34959408 is about 5912.6481376791. The cubic root of 34959408 is about 326.9801257923.

The spelling of 34959408 in words is "thirty-four million, nine hundred fifty-nine thousand, four hundred eight".