3894182971392 has 768 divisors, whose sum is σ = 12851463905280. Its totient is φ = 1024439353344.

The previous prime is 3894182971381. The next prime is 3894182971397. The reversal of 3894182971392 is 2931792814983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3894182971392² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3894182971397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3769779708 + ... + 3769780740.

It is an arithmetic number, because the mean of its divisors is an integer number (16733676960).

Almost surely, 2^{3894182971392} is an apocalyptic number.

3894182971392 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 3894182971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425731952640).

3894182971392 is an abundant number, since it is smaller than the sum of its proper divisors (8957280933888).

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

3894182971392 is a wasteful number, since it uses less digits than its factorization.

3894182971392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1208 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The spelling of 3894182971392 in words is "three trillion, eight hundred ninety-four billion, one hundred eighty-two million, nine hundred seventy-one thousand, three hundred ninety-two".