34098480 has 120 divisors (see below), whose sum is σ = 123356688. Its totient is φ = 8391168.

The previous prime is 34098479. The next prime is 34098487. The reversal of 34098480 is 8489043.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34098487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7539 + ... + 11181.

Almost surely, 2^34098480 is an apocalyptic number.

34098480 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 34098480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61678344).

34098480 is an abundant number, since it is smaller than the sum of its proper divisors (89258208).

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

34098480 is a wasteful number, since it uses less digits than its factorization.

34098480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34098480 is about 5839.3903791406. The cubic root of 34098480 is about 324.2736599688.

The spelling of 34098480 in words is "thirty-four million, ninety-eight thousand, four hundred eighty".