3340685314400 has 288 divisors, whose sum is σ = 9649074419712. Its totient is φ = 1105215897600.

The previous prime is 3340685314391. The next prime is 3340685314429. The reversal of 3340685314400 is 44135860433.

It is a super-2 number, since 2×3340685314400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 60211472 + ... + 60266928.

It is an arithmetic number, because the mean of its divisors is an integer number (33503730624).

Almost surely, 2^{3340685314400} 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 3340685314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824537209856).

3340685314400 is an abundant number, since it is smaller than the sum of its proper divisors (6308389105312).

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

3340685314400 is a wasteful number, since it uses less digits than its factorization.

3340685314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55862 (or 55849 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 3340685314400 in words is "three trillion, three hundred forty billion, six hundred eighty-five million, three hundred fourteen thousand, four hundred".