34980120 has 192 divisors, whose sum is σ = 135842400. Its totient is φ = 7983360.

The previous prime is 34980091. The next prime is 34980131. The reversal of 34980120 is 2108943.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52590 + ... + 53250.

Almost surely, 2^34980120 is an apocalyptic number.

34980120 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 34980120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67921200).

34980120 is an abundant number, since it is smaller than the sum of its proper divisors (100862280).

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

34980120 is a wasteful number, since it uses less digits than its factorization.

34980120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 678 counting only the distinct ones).

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

The square root of 34980120 is about 5914.3993777898. The cubic root of 34980120 is about 327.0446871005.

The spelling of 34980120 in words is "thirty-four million, nine hundred eighty thousand, one hundred twenty".