3675162136800 has 1728 divisors, whose sum is σ = 15593118976512. Its totient is φ = 735381504000.

The previous prime is 3675162136757. The next prime is 3675162136817. The reversal of 3675162136800 is 86312615763.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3675162136800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9852981414 + ... + 9852981786.

It is an arithmetic number, because the mean of its divisors is an integer number (9023795704).

Almost surely, 2^{3675162136800} is an apocalyptic number.

3675162136800 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 3675162136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796559488256).

3675162136800 is an abundant number, since it is smaller than the sum of its proper divisors (11917956839712).

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

3675162136800 is a wasteful number, since it uses less digits than its factorization.

3675162136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 3675162136800 in words is "three trillion, six hundred seventy-five billion, one hundred sixty-two million, one hundred thirty-six thousand, eight hundred".