34120980 has 96 divisors (see below), whose sum is σ = 107049600. Its totient is φ = 9022464.

The previous prime is 34120951. The next prime is 34120981. The reversal of 34120980 is 8902143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96484 + ... + 96836.

It is an arithmetic number, because the mean of its divisors is an integer number (1115100).

Almost surely, 2^34120980 is an apocalyptic number.

34120980 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 34120980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53524800).

34120980 is an abundant number, since it is smaller than the sum of its proper divisors (72928620).

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

34120980 is a wasteful number, since it uses less digits than its factorization.

34120980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34120980 is about 5841.3166324040. The cubic root of 34120980 is about 324.3449686521.

It can be divided in two parts, 341 and 20980, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 34120980 in words is "thirty-four million, one hundred twenty thousand, nine hundred eighty".