3890388320 has 480 divisors, whose sum is σ = 12451229280. Its totient is φ = 1137991680.

The previous prime is 3890388317. The next prime is 3890388331. The reversal of 3890388320 is 238830983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94887500 + ... + 94887540.

It is an arithmetic number, because the mean of its divisors is an integer number (25940061).

Almost surely, 2^3890388320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225614640).

3890388320 is an abundant number, since it is smaller than the sum of its proper divisors (8560840960).

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

3890388320 is a wasteful number, since it uses less digits than its factorization.

3890388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 3890388320 is about 62372.9774822399. The cubic root of 3890388320 is about 1572.7667443390.

The spelling of 3890388320 in words is "three billion, eight hundred ninety million, three hundred eighty-eight thousand, three hundred twenty".