38185136640000 has 3640 divisors, whose sum is σ = 170048064200960. Its totient is φ = 8384643072000.

The previous prime is 38185136639971. The next prime is 38185136640011. The reversal of 38185136640000 is 4663158183.

38185136640000 is a `hidden beast` number, since 3 + 8 + 185 + 1 + 3 + 66 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 483356159961 + ... + 483356160039.

Almost surely, 2^{38185136640000} is an apocalyptic number.

38185136640000 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 38185136640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85024032100480).

38185136640000 is an abundant number, since it is smaller than the sum of its proper divisors (131862927560960).

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

38185136640000 is an frugal number, since it uses more digits than its factorization.

38185136640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 38185136640000 its reverse (4663158183), we get a palindrome (38189799798183).

The spelling of 38185136640000 in words is "thirty-eight trillion, one hundred eighty-five billion, one hundred thirty-six million, six hundred forty thousand".