3382696162944 has 1280 divisors, whose sum is σ = 12491352023040. Its totient is φ = 886837248000.

The previous prime is 3382696162919. The next prime is 3382696162957. The reversal of 3382696162944 is 4492616962833.

3382696162944 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 6 + 9 + 616 + 2 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×3382696162944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12482273529 + ... + 12482273799.

It is an arithmetic number, because the mean of its divisors is an integer number (9758868768).

Almost surely, 2^{3382696162944} is an apocalyptic number.

3382696162944 is a gapful number since it is divisible by the number (34) 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 3382696162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245676011520).

3382696162944 is an abundant number, since it is smaller than the sum of its proper divisors (9108655860096).

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

3382696162944 is a wasteful number, since it uses less digits than its factorization.

3382696162944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 518 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 3382696162944 in words is "three trillion, three hundred eighty-two billion, six hundred ninety-six million, one hundred sixty-two thousand, nine hundred forty-four".