3820832640 has 256 divisors, whose sum is σ = 13864737600. Its totient is φ = 993853440.

The previous prime is 3820832627. The next prime is 3820832647. The reversal of 3820832640 is 462380283.

3820832640 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 8 + 3 + 2 + 640 = 666.

3820832640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3820832595 and 3820832604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820832647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705784 + ... + 711176.

Almost surely, 2^3820832640 is an apocalyptic number.

3820832640 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 3820832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932368800).

3820832640 is an abundant number, since it is smaller than the sum of its proper divisors (10043904960).

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

3820832640 is a wasteful number, since it uses less digits than its factorization.

3820832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3820832640 is about 61812.8840938521. The cubic root of 3820832640 is about 1563.3372344192.

The spelling of 3820832640 in words is "three billion, eight hundred twenty million, eight hundred thirty-two thousand, six hundred forty".