38736662400000 has 2640 divisors, whose sum is σ = 156729398364000. Its totient is φ = 9493217280000.

The previous prime is 38736662399993. The next prime is 38736662400043. The reversal of 38736662400000 is 426663783.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 259977599926 + ... + 259977600074.

It is an arithmetic number, because the mean of its divisors is an integer number (59367196350).

Almost surely, 2^{38736662400000} is an apocalyptic number.

38736662400000 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 38736662400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78364699182000).

38736662400000 is an abundant number, since it is smaller than the sum of its proper divisors (117992735964000).

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

38736662400000 is an equidigital number, since it uses as much as digits as its factorization.

38736662400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 38736662400000 in words is "thirty-eight trillion, seven hundred thirty-six billion, six hundred sixty-two million, four hundred thousand".