3711169380672 has 1008 divisors, whose sum is σ = 13088263668480. Its totient is φ = 994084945920.

The previous prime is 3711169380671. The next prime is 3711169380679. The reversal of 3711169380672 is 2760839611173.

3711169380672 is a `hidden beast` number, since 37 + 1 + 1 + 169 + 380 + 6 + 72 = 666.

It is a super-3 number, since 3×3711169380672³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3711169380671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2813622829 + ... + 2813624147.

It is an arithmetic number, because the mean of its divisors is an integer number (12984388560).

Almost surely, 2^{3711169380672} is an apocalyptic number.

3711169380672 is a gapful number since it is divisible by the number (32) 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 3711169380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544131834240).

3711169380672 is an abundant number, since it is smaller than the sum of its proper divisors (9377094287808).

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

3711169380672 is a wasteful number, since it uses less digits than its factorization.

3711169380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 3711169380672 in words is "three trillion, seven hundred eleven billion, one hundred sixty-nine million, three hundred eighty thousand, six hundred seventy-two".