3824159040000 has 2100 divisors, whose sum is σ = 15661162469106. Its totient is φ = 931627008000.

The previous prime is 3824159039963. The next prime is 3824159040017. The reversal of 3824159040000 is 409514283.

3824159040000 is a `hidden beast` number, since 3 + 8 + 24 + 1 + 590 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 3014418219264 + 809740820736 = 1736208^2 + 899856^2 .

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 209 ways as a sum of consecutive naturals, for example, 39424319952 + ... + 39424320048.

Almost surely, 2^{3824159040000} is an apocalyptic number.

3824159040000 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 3824159040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830581234553).

3824159040000 is an abundant number, since it is smaller than the sum of its proper divisors (11837003429106).

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

3824159040000 is an frugal number, since it uses more digits than its factorization.

3824159040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3824159040000 in words is "three trillion, eight hundred twenty-four billion, one hundred fifty-nine million, forty thousand".