34018980 has 48 divisors (see below), whose sum is σ = 96472320. Its totient is φ = 8955648.

The previous prime is 34018979. The next prime is 34018981. The reversal of 34018980 is 8981043.

It is an interprime number because it is at equal distance from previous prime (34018979) and next prime (34018981).

It is not an unprimeable number, because it can be changed into a prime (34018981) 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, 1152 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (2009840).

Almost surely, 2^34018980 is an apocalyptic number.

34018980 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 34018980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48236160).

34018980 is an abundant number, since it is smaller than the sum of its proper divisors (62453340).

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

34018980 is a wasteful number, since it uses less digits than its factorization.

34018980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 34018980 is about 5832.5791893467. The cubic root of 34018980 is about 324.0214511022.

The spelling of 34018980 in words is "thirty-four million, eighteen thousand, nine hundred eighty".