3884811840 has 896 divisors, whose sum is σ = 17355555840. Its totient is φ = 806215680.

The previous prime is 3884811817. The next prime is 3884811857. The reversal of 3884811840 is 481184883.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63685410 + ... + 63685470.

It is an arithmetic number, because the mean of its divisors is an integer number (19370040).

Almost surely, 2^3884811840 is an apocalyptic number.

3884811840 is a gapful number since it is divisible by the number (30) 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 3884811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677777920).

3884811840 is an abundant number, since it is smaller than the sum of its proper divisors (13470744000).

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

3884811840 is an equidigital number, since it uses as much as digits as its factorization.

3884811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 3884811840 is about 62328.2587595707. The cubic root of 3884811840 is about 1572.0149174040.

The spelling of 3884811840 in words is "three billion, eight hundred eighty-four million, eight hundred eleven thousand, eight hundred forty".