3985258320 has 480 divisors, whose sum is σ = 15209026560. Its totient is φ = 965468160.

The previous prime is 3985258313. The next prime is 3985258339. The reversal of 3985258320 is 238525893.

3985258320 is a `hidden beast` number, since 3 + 98 + 525 + 8 + 32 + 0 = 666.

3985258320 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 (45).

It is a congruent number.

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, 10244686 + ... + 10245074.

It is an arithmetic number, because the mean of its divisors is an integer number (31685472).

Almost surely, 2^3985258320 is an apocalyptic number.

3985258320 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 3985258320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604513280).

3985258320 is an abundant number, since it is smaller than the sum of its proper divisors (11223768240).

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

3985258320 is a wasteful number, since it uses less digits than its factorization.

3985258320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3985258320 is about 63128.9024140290. The cubic root of 3985258320 is about 1585.4485715684.

The spelling of 3985258320 in words is "three billion, nine hundred eighty-five million, two hundred fifty-eight thousand, three hundred twenty".