3672120348288 has 128 divisors (see below), whose sum is σ = 12386120304000. Its totient is φ = 1049177235456.

The previous prime is 3672120348241. The next prime is 3672120348329. The reversal of 3672120348288 is 8828430212763.

3672120348288 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 12 + 0 + 348 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75871153 + ... + 75919536.

It is an arithmetic number, because the mean of its divisors is an integer number (96766564875).

Almost surely, 2^{3672120348288} is an apocalyptic number.

It is an amenable number.

3672120348288 is an abundant number, since it is smaller than the sum of its proper divisors (8713999955712).

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

3672120348288 is a wasteful number, since it uses less digits than its factorization.

3672120348288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151790719 (or 151790701 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3672120348288 in words is "three trillion, six hundred seventy-two billion, one hundred twenty million, three hundred forty-eight thousand, two hundred eighty-eight".