386263987200 has 2640 divisors, whose sum is σ = 1857533610240. Its totient is φ = 77078200320.

The previous prime is 386263987199. The next prime is 386263987201. The reversal of 386263987200 is 2789362683.

It is a happy number.

386263987200 is a `hidden beast` number, since 3 + 8 + 626 + 3 + 9 + 8 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (386263987199) and next prime (386263987201).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386263987201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4340044756 + ... + 4340044844.

It is an arithmetic number, because the mean of its divisors is an integer number (703611216).

Almost surely, 2^386263987200 is an apocalyptic number.

386263987200 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 386263987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928766805120).

386263987200 is an abundant number, since it is smaller than the sum of its proper divisors (1471269623040).

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

386263987200 is a wasteful number, since it uses less digits than its factorization.

386263987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 386263987200 in words is "three hundred eighty-six billion, two hundred sixty-three million, nine hundred eighty-seven thousand, two hundred".