3830981551488 has 768 divisors, whose sum is σ = 14038067097600. Its totient is φ = 975520972800.

The previous prime is 3830981551483. The next prime is 3830981551513. The reversal of 3830981551488 is 8841551890383.

3830981551488 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 98 + 15 + 51 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830981551483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758136383 + ... + 1758138561.

It is an arithmetic number, because the mean of its divisors is an integer number (18278733200).

Almost surely, 2^{3830981551488} 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 3830981551488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019033548800).

3830981551488 is an abundant number, since it is smaller than the sum of its proper divisors (10207085546112).

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

3830981551488 is a wasteful number, since it uses less digits than its factorization.

3830981551488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 3830981551488 in words is "three trillion, eight hundred thirty billion, nine hundred eighty-one million, five hundred fifty-one thousand, four hundred eighty-eight".