3382377639168 has 432 divisors, whose sum is σ = 10031686770560. Its totient is φ = 1010872811520.

The previous prime is 3382377639167. The next prime is 3382377639169. The reversal of 3382377639168 is 8619367732833.

It is an interprime number because it is at equal distance from previous prime (3382377639167) and next prime (3382377639169).

It is a super-2 number, since 2×3382377639168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3382377639099 and 3382377639108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382377639167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2995905228 + ... + 2995906356.

Almost surely, 2^{3382377639168} 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 3382377639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015843385280).

3382377639168 is an abundant number, since it is smaller than the sum of its proper divisors (6649309131392).

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

3382377639168 is a wasteful number, since it uses less digits than its factorization.

3382377639168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1561 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 66.

The spelling of 3382377639168 in words is "three trillion, three hundred eighty-two billion, three hundred seventy-seven million, six hundred thirty-nine thousand, one hundred sixty-eight".