3792210140160 has 1056 divisors, whose sum is σ = 14886614066688. Its totient is φ = 886080798720.

The previous prime is 3792210140143. The next prime is 3792210140171. The reversal of 3792210140160 is 610410122973.

3792210140160 is a `hidden beast` number, since 3 + 7 + 92 + 2 + 101 + 401 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 984220794 + ... + 984224646.

Almost surely, 2^{3792210140160} is an apocalyptic number.

3792210140160 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 3792210140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443307033344).

3792210140160 is an abundant number, since it is smaller than the sum of its proper divisors (11094403926528).

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

3792210140160 is a wasteful number, since it uses less digits than its factorization.

3792210140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 3792210140160 in words is "three trillion, seven hundred ninety-two billion, two hundred ten million, one hundred forty thousand, one hundred sixty".