3992106159360 has 1152 divisors, whose sum is σ = 16407524851200. Its totient is φ = 908399738880.

The previous prime is 3992106159347. The next prime is 3992106159373. The reversal of 3992106159360 is 639516012993.

3992106159360 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 10 + 615 + 9 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3992106159347) and next prime (3992106159373).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3992106159297 and 3992106159306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3599734486 + ... + 3599735594.

It is an arithmetic number, because the mean of its divisors is an integer number (14242643100).

Almost surely, 2^{3992106159360} is an apocalyptic number.

3992106159360 is a gapful number since it is divisible by the number (30) 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 3992106159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203762425600).

3992106159360 is an abundant number, since it is smaller than the sum of its proper divisors (12415418691840).

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

3992106159360 is a wasteful number, since it uses less digits than its factorization.

3992106159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 3992106159360 in words is "three trillion, nine hundred ninety-two billion, one hundred six million, one hundred fifty-nine thousand, three hundred sixty".