3873787008 has 256 divisors, whose sum is σ = 13411319040. Its totient is φ = 961413120.

The previous prime is 3873786997. The next prime is 3873787037. The reversal of 3873787008 is 8007873783.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590788 + ... + 597308.

It is an arithmetic number, because the mean of its divisors is an integer number (52387965).

Almost surely, 2^3873787008 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 3873787008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705659520).

3873787008 is an abundant number, since it is smaller than the sum of its proper divisors (9537532032).

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

3873787008 is a wasteful number, since it uses less digits than its factorization.

3873787008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6575 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 3873787008 is about 62239.7542411600. The cubic root of 3873787008 is about 1570.5264179262.

The spelling of 3873787008 in words is "three billion, eight hundred seventy-three million, seven hundred eighty-seven thousand, eight".