3763989954816 has 576 divisors, whose sum is σ = 13280424622080. Its totient is φ = 918568304640.

The previous prime is 3763989954761. The next prime is 3763989954871. The reversal of 3763989954816 is 6184599893673.

It is an interprime number because it is at equal distance from previous prime (3763989954761) and next prime (3763989954871).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57065536 + ... + 57131456.

Almost surely, 2^{3763989954816} 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 3763989954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640212311040).

3763989954816 is an abundant number, since it is smaller than the sum of its proper divisors (9516434667264).

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

3763989954816 is a wasteful number, since it uses less digits than its factorization.

3763989954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66022 (or 66008 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 78.

The spelling of 3763989954816 in words is "three trillion, seven hundred sixty-three billion, nine hundred eighty-nine million, nine hundred fifty-four thousand, eight hundred sixteen".