337913856 has 288 divisors, whose sum is σ = 1168614720. Its totient is φ = 95551488.

The previous prime is 337913837. The next prime is 337913867. The reversal of 337913856 is 658319733.

337913856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×337913856² = 228371548153577472, which contains 22 as substring.

It is a nialpdrome in base 12.

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, 3483600 + ... + 3483696.

It is an arithmetic number, because the mean of its divisors is an integer number (4057690).

Almost surely, 2^337913856 is an apocalyptic number.

337913856 is a gapful number since it is divisible by the number (36) 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 337913856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584307360).

337913856 is an abundant number, since it is smaller than the sum of its proper divisors (830700864).

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

337913856 is an frugal number, since it uses more digits than its factorization.

337913856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 337913856 is about 18382.4333536124. The cubic root of 337913856 is about 696.5227938925.

The spelling of 337913856 in words is "three hundred thirty-seven million, nine hundred thirteen thousand, eight hundred fifty-six".