337968048 has 160 divisors (see below), whose sum is σ = 1021363200. Its totient is φ = 95212800.

The previous prime is 337967963. The next prime is 337968053. The reversal of 337968048 is 840869733.

337968048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×337968048² = 228444802937860608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 337967988 and 337968006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591603 + ... + 592173.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^337968048 is an apocalyptic number.

337968048 is a gapful number since it is divisible by the number (38) 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 337968048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510681600).

337968048 is an abundant number, since it is smaller than the sum of its proper divisors (683395152).

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

337968048 is a wasteful number, since it uses less digits than its factorization.

337968048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 337968048 is about 18383.9073104713. The cubic root of 337968048 is about 696.5600262077.

The spelling of 337968048 in words is "three hundred thirty-seven million, nine hundred sixty-eight thousand, forty-eight".