35314980 has 48 divisors (see below), whose sum is σ = 99658944. Its totient is φ = 9343360.

The previous prime is 35314973. The next prime is 35314987. The reversal of 35314980 is 8941353.

It is an interprime number because it is at equal distance from previous prime (35314973) and next prime (35314987).

It is not an unprimeable number, because it can be changed into a prime (35314987) 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, 5614 + ... + 10106.

It is an arithmetic number, because the mean of its divisors is an integer number (2076228).

Almost surely, 2^35314980 is an apocalyptic number.

35314980 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 35314980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49829472).

35314980 is an abundant number, since it is smaller than the sum of its proper divisors (64343964).

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

35314980 is a wasteful number, since it uses less digits than its factorization.

35314980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 35314980 is about 5942.6408271071. The cubic root of 35314980 is about 328.0849596493.

The spelling of 35314980 in words is "thirty-five million, three hundred fourteen thousand, nine hundred eighty".