34100480 has 36 divisors (see below), whose sum is σ = 81684372. Its totient is φ = 13639680.

The previous prime is 34100477. The next prime is 34100483. The reversal of 34100480 is 8400143.

It is an interprime number because it is at equal distance from previous prime (34100477) and next prime (34100483).

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 27709696 = 2528^2 + 5264^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12041 + ... + 14600.

Almost surely, 2^34100480 is an apocalyptic number.

It is an amenable number.

34100480 is an abundant number, since it is smaller than the sum of its proper divisors (47583892).

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

34100480 is an equidigital number, since it uses as much as digits as its factorization.

34100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26662 (or 26648 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 34100480 is about 5839.5616273827. The cubic root of 34100480 is about 324.2799997884.

The spelling of 34100480 in words is "thirty-four million, one hundred thousand, four hundred eighty".