3859458720 has 192 divisors, whose sum is σ = 13127546880. Its totient is φ = 947478528.

The previous prime is 3859458709. The next prime is 3859458731. The reversal of 3859458720 is 278549583.

It is an interprime number because it is at equal distance from previous prime (3859458709) and next prime (3859458731).

It is a super-2 number, since 2×3859458720² = 29790843222768076800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3550017 + ... + 3551103.

It is an arithmetic number, because the mean of its divisors is an integer number (68372640).

Almost surely, 2^3859458720 is an apocalyptic number.

3859458720 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 3859458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440).

3859458720 is an abundant number, since it is smaller than the sum of its proper divisors (9268088160).

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

3859458720 is a wasteful number, since it uses less digits than its factorization.

3859458720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 3859458720 is about 62124.5420103843. The cubic root of 3859458720 is about 1568.5876814537.

The spelling of 3859458720 in words is "three billion, eight hundred fifty-nine million, four hundred fifty-eight thousand, seven hundred twenty".