3769179166368 has 1536 divisors, whose sum is σ = 14568615936000. Its totient is φ = 931179110400.

The previous prime is 3769179166349. The next prime is 3769179166369. The reversal of 3769179166368 is 8636619719673.

3769179166368 is a `hidden beast` number, since 37 + 6 + 9 + 1 + 79 + 166 + 368 = 666.

3769179166368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3769179166368² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 3769179166296 and 3769179166305.

It is not an unprimeable number, because it can be changed into a prime (3769179166369) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13908410073 + ... + 13908410343.

It is an arithmetic number, because the mean of its divisors is an integer number (9484776000).

Almost surely, 2^{3769179166368} 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 3769179166368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284307968000).

3769179166368 is an abundant number, since it is smaller than the sum of its proper divisors (10799436769632).

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

3769179166368 is a wasteful number, since it uses less digits than its factorization.

3769179166368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 3769179166368 in words is "three trillion, seven hundred sixty-nine billion, one hundred seventy-nine million, one hundred sixty-six thousand, three hundred sixty-eight".