3820014432 has 576 divisors, whose sum is σ = 13314502656. Its totient is φ = 1067489280.

The previous prime is 3820014397. The next prime is 3820014433. The reversal of 3820014432 is 2344100283.

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

It is a junction number, because it is equal to n+sod(n) for n = 3820014396 and 3820014405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820014433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72075718 + ... + 72075770.

It is an arithmetic number, because the mean of its divisors is an integer number (23115456).

Almost surely, 2^3820014432 is an apocalyptic number.

3820014432 is a gapful number since it is divisible by the number (32) 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 3820014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657251328).

3820014432 is an abundant number, since it is smaller than the sum of its proper divisors (9494488224).

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

3820014432 is a wasteful number, since it uses less digits than its factorization.

3820014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3820014432 is about 61806.2653134777. The cubic root of 3820014432 is about 1563.2256334088.

The spelling of 3820014432 in words is "three billion, eight hundred twenty million, fourteen thousand, four hundred thirty-two".