337474872 has 96 divisors (see below), whose sum is σ = 1047178080. Its totient is φ = 96180480.

The previous prime is 337474861. The next prime is 337474889. The reversal of 337474872 is 278474733.

It is a super-2 number, since 2×337474872² = 227778578462832768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332638 + ... + 333650.

It is an arithmetic number, because the mean of its divisors is an integer number (10908105).

Almost surely, 2^337474872 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 337474872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523589040).

337474872 is an abundant number, since it is smaller than the sum of its proper divisors (709703208).

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

337474872 is a wasteful number, since it uses less digits than its factorization.

337474872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1686 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 337474872 is about 18370.4891606076. The cubic root of 337474872 is about 696.2210455250.

The spelling of 337474872 in words is "three hundred thirty-seven million, four hundred seventy-four thousand, eight hundred seventy-two".