38133643780800 has 1008 divisors, whose sum is σ = 145143878530560. Its totient is φ = 9467370823680.

The previous prime is 38133643780753. The next prime is 38133643780829. The reversal of 38133643780800 is 808734633183.

38133643780800 is a `hidden beast` number, since 3 + 8 + 133 + 64 + 378 + 0 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8487343354 + ... + 8487347846.

Almost surely, 2^{38133643780800} is an apocalyptic number.

38133643780800 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 38133643780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72571939265280).

38133643780800 is an abundant number, since it is smaller than the sum of its proper divisors (107010234749760).

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

38133643780800 is a wasteful number, since it uses less digits than its factorization.

38133643780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 38133643780800 in words is "thirty-eight trillion, one hundred thirty-three billion, six hundred forty-three million, seven hundred eighty thousand, eight hundred".