3582338618432 has 56 divisors (see below), whose sum is σ = 8386304263680. Its totient is φ = 1485762554880.

The previous prime is 3582338618423. The next prime is 3582338618449. The reversal of 3582338618432 is 2348168332853.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 128958557 + ... + 128986332.

It is an arithmetic number, because the mean of its divisors is an integer number (149755433280).

Almost surely, 2^{3582338618432} is an apocalyptic number.

3582338618432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3582338618432 is an abundant number, since it is smaller than the sum of its proper divisors (4803965645248).

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

3582338618432 is a wasteful number, since it uses less digits than its factorization.

3582338618432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257944939 (or 257944929 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 56.

The spelling of 3582338618432 in words is "three trillion, five hundred eighty-two billion, three hundred thirty-eight million, six hundred eighteen thousand, four hundred thirty-two".