3582081900480 has 56 divisors (see below), whose sum is σ = 11373110037072. Its totient is φ = 955221839872.

The previous prime is 3582081900433. The next prime is 3582081900533. The reversal of 3582081900480 is 840091802853.

It is a super-3 number, since 3×3582081900480³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1865666697 + ... + 1865668616.

It is an arithmetic number, because the mean of its divisors is an integer number (203091250662).

Almost surely, 2^{3582081900480} is an apocalyptic number.

3582081900480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3582081900480 is an abundant number, since it is smaller than the sum of its proper divisors (7791028136592).

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

3582081900480 is a wasteful number, since it uses less digits than its factorization.

3582081900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731335333 (or 3731335323 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 3582081900480 in words is "three trillion, five hundred eighty-two billion, eighty-one million, nine hundred thousand, four hundred eighty".