38641187200 has 192 divisors, whose sum is σ = 119010597120. Its totient is φ = 12043929600.

The previous prime is 38641187197. The next prime is 38641187231. The reversal of 38641187200 is 278114683.

38641187200 is digitally balanced in base 2, 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167989 + ... + 324811.

It is an arithmetic number, because the mean of its divisors is an integer number (619846860).

Almost surely, 2^38641187200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38641187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59505298560).

38641187200 is an abundant number, since it is smaller than the sum of its proper divisors (80369409920).

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

38641187200 is a wasteful number, since it uses less digits than its factorization.

38641187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156865 (or 156848 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 38641187200 in words is "thirty-eight billion, six hundred forty-one million, one hundred eighty-seven thousand, two hundred".