38784348979200 has 2160 divisors, whose sum is σ = 161224471207800. Its totient is φ = 9172942848000.

The previous prime is 38784348979163. The next prime is 38784348979213. The reversal of 38784348979200 is 297984348783.

38784348979200 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 4 + 348 + 9 + 79 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 945959731180 + ... + 945959731220.

Almost surely, 2^{38784348979200} is an apocalyptic number.

38784348979200 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 38784348979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80612235603900).

38784348979200 is an abundant number, since it is smaller than the sum of its proper divisors (122440122228600).

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

38784348979200 is an frugal number, since it uses more digits than its factorization.

38784348979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 38784348979200 in words is "thirty-eight trillion, seven hundred eighty-four billion, three hundred forty-eight million, nine hundred seventy-nine thousand, two hundred".