3396337203840 has 384 divisors, whose sum is σ = 12999553297920. Its totient is φ = 751262883840.

The previous prime is 3396337203823. The next prime is 3396337203877. The reversal of 3396337203840 is 483027336933.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3396337203840³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334214 + ... + 3498746.

It is an arithmetic number, because the mean of its divisors is an integer number (33853003380).

Almost surely, 2^{3396337203840} is an apocalyptic number.

3396337203840 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 3396337203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499776648960).

3396337203840 is an abundant number, since it is smaller than the sum of its proper divisors (9603216094080).

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

3396337203840 is a wasteful number, since it uses less digits than its factorization.

3396337203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164600 (or 1164581 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 51.

The spelling of 3396337203840 in words is "three trillion, three hundred ninety-six billion, three hundred thirty-seven million, two hundred three thousand, eight hundred forty".