38036638080000 has 3960 divisors, whose sum is σ = 173147258203920. Its totient is φ = 7989166080000.

The previous prime is 38036638079977. The next prime is 38036638080017. The reversal of 38036638080000 is 8083663083.

It is a happy number.

38036638080000 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 6 + 638 + 0 + 8 + 0 + 0 + 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 359 ways as a sum of consecutive naturals, for example, 219864959914 + ... + 219864960086.

It is an arithmetic number, because the mean of its divisors is an integer number (43724055102).

Almost surely, 2^{38036638080000} is an apocalyptic number.

38036638080000 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 38036638080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86573629101960).

38036638080000 is an abundant number, since it is smaller than the sum of its proper divisors (135110620123920).

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

38036638080000 is a wasteful number, since it uses less digits than its factorization.

38036638080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38036638080000 in words is "thirty-eight trillion, thirty-six billion, six hundred thirty-eight million, eighty thousand".