3841992000 has 1260 divisors, whose sum is σ = 18173567412. Its totient is φ = 798336000.

The previous prime is 3841991999. The next prime is 3841992019. The reversal of 3841992000 is 2991483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3841992000 is a `hidden beast` number, since 38 + 419 + 9 + 200 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 3719048256 = 11088^2 + 60984^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 349271995 + ... + 349272005.

Almost surely, 2^3841992000 is an apocalyptic number.

3841992000 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 3841992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086783706).

3841992000 is an abundant number, since it is smaller than the sum of its proper divisors (14331575412).

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

3841992000 is a wasteful number, since it uses less digits than its factorization.

3841992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3841992000 is about 61983.8043362942. The cubic root of 3841992000 is about 1566.2177880041.

The spelling of 3841992000 in words is "three billion, eight hundred forty-one million, nine hundred ninety-two thousand".