3579889920 has 576 divisors, whose sum is σ = 13139159040. Its totient is φ = 825753600.

The previous prime is 3579889913. The next prime is 3579889927. The reversal of 3579889920 is 299889753.

It is an interprime number because it is at equal distance from previous prime (3579889913) and next prime (3579889927).

It is a super-2 number, since 2×3579889920² = 25631223678635212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3579889927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58686690 + ... + 58686750.

It is an arithmetic number, because the mean of its divisors is an integer number (22811040).

Almost surely, 2^3579889920 is an apocalyptic number.

3579889920 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 3579889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569579520).

3579889920 is an abundant number, since it is smaller than the sum of its proper divisors (9559269120).

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

3579889920 is a wasteful number, since it uses less digits than its factorization.

3579889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The square root of 3579889920 is about 59832.1813073867. The cubic root of 3579889920 is about 1529.7597298809.

The spelling of 3579889920 in words is "three billion, five hundred seventy-nine million, eight hundred eighty-nine thousand, nine hundred twenty".