34104672 has 96 divisors (see below), whose sum is σ = 113702400. Its totient is φ = 9742464.

The previous prime is 34104659. The next prime is 34104731. The reversal of 34104672 is 27640143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3229 + ... + 8867.

It is an arithmetic number, because the mean of its divisors is an integer number (1184400).

Almost surely, 2^34104672 is an apocalyptic number.

34104672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56851200).

34104672 is an abundant number, since it is smaller than the sum of its proper divisors (79597728).

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

34104672 is a wasteful number, since it uses less digits than its factorization.

34104672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34104672 is about 5839.9205474047. The cubic root of 34104672 is about 324.2932872461.

The spelling of 34104672 in words is "thirty-four million, one hundred four thousand, six hundred seventy-two".