3992136019200 has 1728 divisors, whose sum is σ = 17329455843840. Its totient is φ = 880312320000.

The previous prime is 3992136019171. The next prime is 3992136019211. The reversal of 3992136019200 is 29106312993.

3992136019200 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 13 + 601 + 9 + 20 + 0 = 666.

3992136019200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5008953202 + ... + 5008953998.

It is an arithmetic number, because the mean of its divisors is an integer number (10028620280).

Almost surely, 2^{3992136019200} is an apocalyptic number.

3992136019200 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 3992136019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664727921920).

3992136019200 is an abundant number, since it is smaller than the sum of its proper divisors (13337319824640).

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

3992136019200 is a wasteful number, since it uses less digits than its factorization.

3992136019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 3992136019200 in words is "three trillion, nine hundred ninety-two billion, one hundred thirty-six million, nineteen thousand, two hundred".