34980880 has 80 divisors (see below), whose sum is σ = 89708544. Its totient is φ = 12579840.

The previous prime is 34980871. The next prime is 34980889. The reversal of 34980880 is 8808943.

It is an interprime number because it is at equal distance from previous prime (34980871) and next prime (34980889).

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34980889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111604 + ... + 111916.

Almost surely, 2^34980880 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 34980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44854272).

34980880 is an abundant number, since it is smaller than the sum of its proper divisors (54727664).

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

34980880 is a wasteful number, since it uses less digits than its factorization.

34980880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 34980880 is about 5914.4636274137. The cubic root of 34980880 is about 327.0470556093.

The spelling of 34980880 in words is "thirty-four million, nine hundred eighty thousand, eight hundred eighty".