34477680 has 80 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 9093120.

The previous prime is 34477661. The next prime is 34477691. The reversal of 34477680 is 8677443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 22540 + ... + 24020.

Almost surely, 2^34477680 is an apocalyptic number.

34477680 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 34477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

34477680 is an abundant number, since it is smaller than the sum of its proper divisors (73577904).

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

34477680 is a wasteful number, since it uses less digits than its factorization.

34477680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 34477680 is about 5871.7697502542. The cubic root of 34477680 is about 325.4712846983.

The spelling of 34477680 in words is "thirty-four million, four hundred seventy-seven thousand, six hundred eighty".