337104080 has 80 divisors (see below), whose sum is σ = 829500480. Its totient is φ = 127051776.

The previous prime is 337104071. The next prime is 337104161. The reversal of 337104080 is 80401733.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×337104080² = 227278321505292800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344552 + ... + 345528.

It is an arithmetic number, because the mean of its divisors is an integer number (10368756).

Almost surely, 2^337104080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414750240).

337104080 is an abundant number, since it is smaller than the sum of its proper divisors (492396400).

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

337104080 is a wasteful number, since it uses less digits than its factorization.

337104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 337104080 is about 18360.3943312773. The cubic root of 337104080 is about 695.9659669799.

The spelling of 337104080 in words is "three hundred thirty-seven million, one hundred four thousand, eighty".