3873494016 has 264 divisors, whose sum is σ = 12935074880. Its totient is φ = 1093533696.

The previous prime is 3873493973. The next prime is 3873494059. The reversal of 3873494016 is 6104943783.

It is an interprime number because it is at equal distance from previous prime (3873493973) and next prime (3873494059).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6257355 + ... + 6257973.

Almost surely, 2^3873494016 is an apocalyptic number.

3873494016 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 3873494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467537440).

3873494016 is an abundant number, since it is smaller than the sum of its proper divisors (9061580864).

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

3873494016 is a wasteful number, since it uses less digits than its factorization.

3873494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3873494016 is about 62237.4004598521. The cubic root of 3873494016 is about 1570.4868215934.

The spelling of 3873494016 in words is "three billion, eight hundred seventy-three million, four hundred ninety-four thousand, sixteen".