3890584320 has 864 divisors, whose sum is σ = 16106065920. Its totient is φ = 794787840.

The previous prime is 3890584253. The next prime is 3890584339. The reversal of 3890584320 is 234850983.

3890584320 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 Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125502705 + ... + 125502735.

It is an arithmetic number, because the mean of its divisors is an integer number (18641280).

Almost surely, 2^3890584320 is an apocalyptic number.

3890584320 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 3890584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053032960).

3890584320 is an abundant number, since it is smaller than the sum of its proper divisors (12215481600).

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

3890584320 is a wasteful number, since it uses less digits than its factorization.

3890584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3890584320 is about 62374.5486556817. The cubic root of 3890584320 is about 1572.7931561930.

The spelling of 3890584320 in words is "three billion, eight hundred ninety million, five hundred eighty-four thousand, three hundred twenty".