3675386080800 has 648 divisors, whose sum is σ = 15634724532336. Its totient is φ = 840086069760.

The previous prime is 3675386080799. The next prime is 3675386080843. The reversal of 3675386080800 is 80806835763.

It is a happy number.

3675386080800 is a `hidden beast` number, since 367 + 53 + 86 + 0 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 107 ways as a sum of consecutive naturals, for example, 9332679 + ... + 9718521.

Almost surely, 2^{3675386080800} is an apocalyptic number.

3675386080800 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 3675386080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817362266168).

3675386080800 is an abundant number, since it is smaller than the sum of its proper divisors (11959338451536).

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

3675386080800 is a wasteful number, since it uses less digits than its factorization.

3675386080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385892 (or 385860 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3675386080800 in words is "three trillion, six hundred seventy-five billion, three hundred eighty-six million, eighty thousand, eight hundred".