3872890840 has 256 divisors, whose sum is σ = 11684736000. Its totient is φ = 1120573440.

The previous prime is 3872890831. The next prime is 3872890849. The reversal of 3872890840 is 480982783.

It is an interprime number because it is at equal distance from previous prime (3872890831) and next prime (3872890849).

It is a super-4 number, since 4×3872890840⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872890849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2004675 + ... + 2006605.

It is an arithmetic number, because the mean of its divisors is an integer number (45643500).

Almost surely, 2^3872890840 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 3872890840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842368000).

3872890840 is an abundant number, since it is smaller than the sum of its proper divisors (7811845160).

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

3872890840 is a wasteful number, since it uses less digits than its factorization.

3872890840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 3872890840 is about 62232.5545032501. The cubic root of 3872890840 is about 1570.4052992324.

The spelling of 3872890840 in words is "three billion, eight hundred seventy-two million, eight hundred ninety thousand, eight hundred forty".