3821113440 has 240 divisors, whose sum is σ = 13742256528. Its totient is φ = 999558144.

The previous prime is 3821113433. The next prime is 3821113463. The reversal of 3821113440 is 443111283.

3821113440 is a `hidden beast` number, since 3 + 8 + 211 + 1 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 684099 + ... + 689661.

Almost surely, 2^3821113440 is an apocalyptic number.

3821113440 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 3821113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871128264).

3821113440 is an abundant number, since it is smaller than the sum of its proper divisors (9921143088).

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

3821113440 is a wasteful number, since it uses less digits than its factorization.

3821113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3821113440 is about 61815.1554232455. The cubic root of 3821113440 is about 1563.3755309881.

The spelling of 3821113440 in words is "three billion, eight hundred twenty-one million, one hundred thirteen thousand, four hundred forty".