3836881281024 has 840 divisors, whose sum is σ = 12944636355024. Its totient is φ = 1123128115200.

The previous prime is 3836881281017. The next prime is 3836881281031. The reversal of 3836881281024 is 4201821886383.

3836881281024 is a `hidden beast` number, since 383 + 68 + 81 + 28 + 102 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3836881281017) and next prime (3836881281031).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7014407919 + ... + 7014408465.

Almost surely, 2^{3836881281024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836881281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472318177512).

3836881281024 is an abundant number, since it is smaller than the sum of its proper divisors (9107755074000).

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

3836881281024 is an equidigital number, since it uses as much as digits as its factorization.

3836881281024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 3836881281024 in words is "three trillion, eight hundred thirty-six billion, eight hundred eighty-one million, two hundred eighty-one thousand, twenty-four".