38864059200000 has 1440 divisors, whose sum is σ = 153070004767680. Its totient is φ = 9816422400000.

The previous prime is 38864059199947. The next prime is 38864059200013. The reversal of 38864059200000 is 295046883.

38864059200000 is a `hidden beast` number, since 38 + 8 + 6 + 405 + 9 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×38864059200000² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 7387197370 + ... + 7387202630.

It is an arithmetic number, because the mean of its divisors is an integer number (106298614422).

Almost surely, 2^{38864059200000} is an apocalyptic number.

38864059200000 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 38864059200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535002383840).

38864059200000 is an abundant number, since it is smaller than the sum of its proper divisors (114205945567680).

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

38864059200000 is an frugal number, since it uses more digits than its factorization.

38864059200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38864059200000 in words is "thirty-eight trillion, eight hundred sixty-four billion, fifty-nine million, two hundred thousand".