34298880 has 352 divisors, whose sum is σ = 141488640. Its totient is φ = 6881280.

The previous prime is 34298839. The next prime is 34298881. The reversal of 34298880 is 8889243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34298881) 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, 1182706 + ... + 1182734.

Almost surely, 2^34298880 is an apocalyptic number.

34298880 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 34298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744320).

34298880 is an abundant number, since it is smaller than the sum of its proper divisors (107189760).

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

34298880 is a wasteful number, since it uses less digits than its factorization.

34298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 34298880 is about 5856.5245666692. The cubic root of 34298880 is about 324.9076818658.

The spelling of 34298880 in words is "thirty-four million, two hundred ninety-eight thousand, eight hundred eighty".