34881408 has 64 divisors (see below), whose sum is σ = 102958800. Its totient is φ = 11625984.

The previous prime is 34881391. The next prime is 34881419. The reversal of 34881408 is 80418843.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

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, 1591 + ... + 8502.

Almost surely, 2^34881408 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 34881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51479400).

34881408 is an abundant number, since it is smaller than the sum of its proper divisors (68077392).

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

34881408 is a wasteful number, since it uses less digits than its factorization.

34881408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 34881408 is about 5906.0484251316. The cubic root of 34881408 is about 326.7367631518.

The spelling of 34881408 in words is "thirty-four million, eight hundred eighty-one thousand, four hundred eight".