386550649800 has 576 divisors, whose sum is σ = 1550986444800. Its totient is φ = 84415219200.

The previous prime is 386550649757. The next prime is 386550649801. The reversal of 386550649800 is 8946055683.

It is a happy number.

386550649800 is a `hidden beast` number, since 3 + 8 + 6 + 550 + 6 + 4 + 9 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (386550649801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30851137 + ... + 30863663.

It is an arithmetic number, because the mean of its divisors is an integer number (2692684800).

Almost surely, 2^386550649800 is an apocalyptic number.

386550649800 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 386550649800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775493222400).

386550649800 is an abundant number, since it is smaller than the sum of its proper divisors (1164435795000).

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

386550649800 is a wasteful number, since it uses less digits than its factorization.

386550649800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12666 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 386550649800 in words is "three hundred eighty-six billion, five hundred fifty million, six hundred forty-nine thousand, eight hundred".