3337004217360 has 160 divisors (see below), whose sum is σ = 11289970824192. Its totient is φ = 808624535040.

The previous prime is 3337004217311. The next prime is 3337004217413. The reversal of 3337004217360 is 637124007333.

It is a super-2 number, since 2×3337004217360² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5926797 + ... + 6465363.

Almost surely, 2^{3337004217360} is an apocalyptic number.

3337004217360 is a gapful number since it is divisible by the number (30) 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 3337004217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644985412096).

3337004217360 is an abundant number, since it is smaller than the sum of its proper divisors (7952966606832).

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

3337004217360 is a wasteful number, since it uses less digits than its factorization.

3337004217360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540941 (or 540935 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 39.

The spelling of 3337004217360 in words is "three trillion, three hundred thirty-seven billion, four million, two hundred seventeen thousand, three hundred sixty".