3642180128544 has 48 divisors (see below), whose sum is σ = 10063918781280. Its totient is φ = 1150162145280.

The previous prime is 3642180128513. The next prime is 3642180128551. The reversal of 3642180128544 is 4458210812463.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 3642180128493 and 3642180128502.

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, 998402817 + ... + 998406464.

It is an arithmetic number, because the mean of its divisors is an integer number (209664974610).

Almost surely, 2^{3642180128544} is an apocalyptic number.

It is an amenable number.

3642180128544 is an abundant number, since it is smaller than the sum of its proper divisors (6421738652736).

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

3642180128544 is a wasteful number, since it uses less digits than its factorization.

3642180128544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996809313 (or 1996809305 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 3642180128544 in words is "three trillion, six hundred forty-two billion, one hundred eighty million, one hundred twenty-eight thousand, five hundred forty-four".