38264993827200 has 1152 divisors, whose sum is σ = 161982448293120. Its totient is φ = 8737675960320.

The previous prime is 38264993827187. The next prime is 38264993827213. The reversal of 38264993827200 is 272839946283.

38264993827200 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 49 + 9 + 382 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (38264993827187) and next prime (38264993827213).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6733235559 + ... + 6733241241.

Almost surely, 2^{38264993827200} is an apocalyptic number.

38264993827200 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 38264993827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80991224146560).

38264993827200 is an abundant number, since it is smaller than the sum of its proper divisors (123717454465920).

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

38264993827200 is a wasteful number, since it uses less digits than its factorization.

38264993827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 38264993827200 in words is "thirty-eight trillion, two hundred sixty-four billion, nine hundred ninety-three million, eight hundred twenty-seven thousand, two hundred".