3890323920 has 160 divisors (see below), whose sum is σ = 14227660800. Its totient is φ = 860520960.

The previous prime is 3890323883. The next prime is 3890323933. The reversal of 3890323920 is 293230983.

3890323920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14731 + ... + 89429.

It is an arithmetic number, because the mean of its divisors is an integer number (88922880).

Almost surely, 2^3890323920 is an apocalyptic number.

3890323920 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 3890323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113830400).

3890323920 is an abundant number, since it is smaller than the sum of its proper divisors (10337336880).

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

3890323920 is a wasteful number, since it uses less digits than its factorization.

3890323920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74753 (or 74747 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3890323920 is about 62372.4612308990. The cubic root of 3890323920 is about 1572.7580659647.

The spelling of 3890323920 in words is "three billion, eight hundred ninety million, three hundred twenty-three thousand, nine hundred twenty".