337042872 has 96 divisors (see below), whose sum is σ = 951444000. Its totient is φ = 107654400.

The previous prime is 337042861. The next prime is 337042877. The reversal of 337042872 is 278240733.

337042872 is a `hidden beast` number, since 3 + 370 + 4 + 287 + 2 = 666.

It is a super-2 number, since 2×337042872² = 227195795132016768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337042877) 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, 314754 + ... + 315822.

It is an arithmetic number, because the mean of its divisors is an integer number (9910875).

Almost surely, 2^337042872 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 337042872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475722000).

337042872 is an abundant number, since it is smaller than the sum of its proper divisors (614401128).

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

337042872 is a wasteful number, since it uses less digits than its factorization.

337042872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 337042872 is about 18358.7274068765. The cubic root of 337042872 is about 695.9238422417.

The spelling of 337042872 in words is "three hundred thirty-seven million, forty-two thousand, eight hundred seventy-two".