34020480 has 256 divisors, whose sum is σ = 123379200. Its totient is φ = 7913472.

The previous prime is 34020479. The next prime is 34020491. The reversal of 34020480 is 8402043.

It is a happy number.

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, 723817 + ... + 723863.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^34020480 is an apocalyptic number.

34020480 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 34020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

34020480 is an abundant number, since it is smaller than the sum of its proper divisors (89358720).

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

34020480 is a wasteful number, since it uses less digits than its factorization.

34020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34020480 is about 5832.7077759819. The cubic root of 34020480 is about 324.0262133951.

The spelling of 34020480 in words is "thirty-four million, twenty thousand, four hundred eighty".