337984896 has 128 divisors (see below), whose sum is σ = 934940160. Its totient is φ = 108103680.

The previous prime is 337984883. The next prime is 337984897. The reversal of 337984896 is 698489733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×337984896² = 228467579848261632, which contains 22 as substring.

Its product of digits (7838208) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337984897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100775 + ... + 1101081.

It is an arithmetic number, because the mean of its divisors is an integer number (7304220).

Almost surely, 2^337984896 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 337984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467470080).

337984896 is an abundant number, since it is smaller than the sum of its proper divisors (596955264).

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

337984896 is a wasteful number, since it uses less digits than its factorization.

337984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 337984896 is about 18384.3655316141. The cubic root of 337984896 is about 696.5716007223.

The spelling of 337984896 in words is "three hundred thirty-seven million, nine hundred eighty-four thousand, eight hundred ninety-six".