3362365613640 has 256 divisors, whose sum is σ = 11185828254720. Its totient is φ = 801744727040.

The previous prime is 3362365613627. The next prime is 3362365613653. The reversal of 3362365613640 is 463165632633.

It is a happy number.

3362365613640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3362365613627) and next prime (3362365613653).

It is a super-2 number, since 2×3362365613640² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3362365613640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24802522 + ... + 24937718.

It is an arithmetic number, because the mean of its divisors is an integer number (43694641620).

Almost surely, 2^{3362365613640} is an apocalyptic number.

3362365613640 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 3362365613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592914127360).

3362365613640 is an abundant number, since it is smaller than the sum of its proper divisors (7823462641080).

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

3362365613640 is a wasteful number, since it uses less digits than its factorization.

3362365613640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135532 (or 135528 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 48.

The spelling of 3362365613640 in words is "three trillion, three hundred sixty-two billion, three hundred sixty-five million, six hundred thirteen thousand, six hundred forty".