3239640121536 has 896 divisors, whose sum is σ = 12092903424000. Its totient is φ = 838114947072.

The previous prime is 3239640121433. The next prime is 3239640121537. The reversal of 3239640121536 is 6351210469323.

3239640121536 is a `hidden beast` number, since 3 + 2 + 3 + 96 + 4 + 0 + 1 + 21 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3239640121491 and 3239640121500.

It is not an unprimeable number, because it can be changed into a prime (3239640121537) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 675063265 + ... + 675068063.

It is an arithmetic number, because the mean of its divisors is an integer number (13496544000).

Almost surely, 2^{3239640121536} is an apocalyptic number.

3239640121536 is a gapful number since it is divisible by the number (36) 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 3239640121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046451712000).

3239640121536 is an abundant number, since it is smaller than the sum of its proper divisors (8853263302464).

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

3239640121536 is an equidigital number, since it uses as much as digits as its factorization.

3239640121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3239640121536 in words is "three trillion, two hundred thirty-nine billion, six hundred forty million, one hundred twenty-one thousand, five hundred thirty-six".