34504920 has 128 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 8975232.

The previous prime is 34504919. The next prime is 34504949. The reversal of 34504920 is 2940543.

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 31 ways as a sum of consecutive naturals, for example, 46069 + ... + 46811.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^34504920 is an apocalyptic number.

34504920 is a gapful number since it is divisible by the number (30) 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 34504920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

34504920 is an abundant number, since it is smaller than the sum of its proper divisors (83344680).

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

34504920 is a wasteful number, since it uses less digits than its factorization.

34504920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34504920 is about 5874.0888655178. The cubic root of 34504920 is about 325.5569778572.

The spelling of 34504920 in words is "thirty-four million, five hundred four thousand, nine hundred twenty".