3582074880 has 448 divisors, whose sum is σ = 13211251200. Its totient is φ = 920125440.

The previous prime is 3582074861. The next prime is 3582074917. The reversal of 3582074880 is 884702853.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45342681 + ... + 45342759.

It is an arithmetic number, because the mean of its divisors is an integer number (29489400).

Almost surely, 2^3582074880 is an apocalyptic number.

3582074880 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 3582074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605625600).

3582074880 is an abundant number, since it is smaller than the sum of its proper divisors (9629176320).

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

3582074880 is an equidigital number, since it uses as much as digits as its factorization.

3582074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3582074880 is about 59850.4375923852. The cubic root of 3582074880 is about 1530.0708925244.

The spelling of 3582074880 in words is "three billion, five hundred eighty-two million, seventy-four thousand, eight hundred eighty".