38133380736000 has 1056 divisors, whose sum is σ = 154746182163456. Its totient is φ = 8946155520000.

The previous prime is 38133380735953. The next prime is 38133380736023. The reversal of 38133380736000 is 63708333183.

38133380736000 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 3 + 38 + 0 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 392783464 + ... + 392880536.

Almost surely, 2^{38133380736000} is an apocalyptic number.

38133380736000 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 38133380736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77373091081728).

38133380736000 is an abundant number, since it is smaller than the sum of its proper divisors (116612801427456).

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

38133380736000 is a wasteful number, since it uses less digits than its factorization.

38133380736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97156 (or 97125 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 38133380736000 in words is "thirty-eight trillion, one hundred thirty-three billion, three hundred eighty million, seven hundred thirty-six thousand".