37800642211200 has 5376 divisors, whose sum is σ = 172792240588800. Its totient is φ = 8062156800000.

The previous prime is 37800642211141. The next prime is 37800642211217. The reversal of 37800642211200 is 211224600873.

It is a happy number.

37800642211200 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 0 + 642 + 2 + 1 + 1 + 2 + 0 + 0 = 666.

37800642211200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 619682659170 + ... + 619682659230.

It is an arithmetic number, because the mean of its divisors is an integer number (32141413800).

Almost surely, 2^{37800642211200} is an apocalyptic number.

37800642211200 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 37800642211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86396120294400).

37800642211200 is an abundant number, since it is smaller than the sum of its proper divisors (134991598377600).

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

37800642211200 is a wasteful number, since it uses less digits than its factorization.

37800642211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 37800642211200 in words is "thirty-seven trillion, eight hundred billion, six hundred forty-two million, two hundred eleven thousand, two hundred".