3667000672800 has 432 divisors, whose sum is σ = 13432787746560. Its totient is φ = 940574208000.

The previous prime is 3667000672739. The next prime is 3667000672801. The reversal of 3667000672800 is 82760007663.

3667000672800 is a `hidden beast` number, since 366 + 7 + 0 + 0 + 0 + 6 + 7 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3667000672801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20871721 + ... + 21046679.

It is an arithmetic number, because the mean of its divisors is an integer number (31094416080).

Almost surely, 2^{3667000672800} is an apocalyptic number.

3667000672800 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 3667000672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716393873280).

3667000672800 is an abundant number, since it is smaller than the sum of its proper divisors (9765787073760).

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

3667000672800 is a wasteful number, since it uses less digits than its factorization.

3667000672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175097 (or 175081 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 3667000672800 in words is "three trillion, six hundred sixty-seven billion, six hundred seventy-two thousand, eight hundred".