34813980 has 72 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 9236352.

The previous prime is 34813969. The next prime is 34813997. The reversal of 34813980 is 8931843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48061 + ... + 48779.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^34813980 is an apocalyptic number.

34813980 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 34813980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

34813980 is an abundant number, since it is smaller than the sum of its proper divisors (71328420).

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

34813980 is a wasteful number, since it uses less digits than its factorization.

34813980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34813980 is about 5900.3372784952. The cubic root of 34813980 is about 326.5260929705.

The spelling of 34813980 in words is "thirty-four million, eight hundred thirteen thousand, nine hundred eighty".