337394016 has 72 divisors (see below), whose sum is σ = 970318440. Its totient is φ = 111192576.

The previous prime is 337394011. The next prime is 337394017. The reversal of 337394016 is 610493733.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×337394016² = 227669444065216512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (337394011) 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 11 ways as a sum of consecutive naturals, for example, 19051 + ... + 32213.

It is an arithmetic number, because the mean of its divisors is an integer number (13476645).

Almost surely, 2^337394016 is an apocalyptic number.

337394016 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 337394016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485159220).

337394016 is an abundant number, since it is smaller than the sum of its proper divisors (632924424).

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

337394016 is a wasteful number, since it uses less digits than its factorization.

337394016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13268 (or 13257 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 337394016 is about 18368.2883252632. The cubic root of 337394016 is about 696.1654382784.

The spelling of 337394016 in words is "three hundred thirty-seven million, three hundred ninety-four thousand, sixteen".