3236163840000 has 3000 divisors, whose sum is σ = 15175096266330. Its totient is φ = 682795008000.

The previous prime is 3236163839981. The next prime is 3236163840017. The reversal of 3236163840000 is 483616323.

3236163840000 is a `hidden beast` number, since 3 + 2 + 3 + 616 + 38 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 24096973824 + 3212066866176 = 155232^2 + 1792224^2 .

It is a tau number, because it is divible by the number of its divisors (3000).

It is a super-3 number, since 3×3236163840000³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 249 ways as a sum of consecutive naturals, for example, 248935679994 + ... + 248935680006.

Almost surely, 2^{3236163840000} is an apocalyptic number.

3236163840000 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 3236163840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587548133165).

3236163840000 is an abundant number, since it is smaller than the sum of its proper divisors (11938932426330).

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

3236163840000 is an frugal number, since it uses more digits than its factorization.

3236163840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3236163840000 in words is "three trillion, two hundred thirty-six billion, one hundred sixty-three million, eight hundred forty thousand".