34728408 has 96 divisors (see below), whose sum is σ = 110532240. Its totient is φ = 9711360.

The previous prime is 34728389. The next prime is 34728439. The reversal of 34728408 is 80482743.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8610 + ... + 11982.

Almost surely, 2^34728408 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 34728408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55266120).

34728408 is an abundant number, since it is smaller than the sum of its proper divisors (75803832).

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

34728408 is a wasteful number, since it uses less digits than its factorization.

34728408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34728408 is about 5893.0813671627. The cubic root of 34728408 is about 326.2583421481.

The spelling of 34728408 in words is "thirty-four million, seven hundred twenty-eight thousand, four hundred eight".