386609630400 has 1680 divisors, whose sum is σ = 1712213268480. Its totient is φ = 83707084800.

The previous prime is 386609630353. The next prime is 386609630471. The reversal of 386609630400 is 4036906683.

386609630400 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 0 + 9 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1659268684 + ... + 1659268916.

Almost surely, 2^386609630400 is an apocalyptic number.

386609630400 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 386609630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856106634240).

386609630400 is an abundant number, since it is smaller than the sum of its proper divisors (1325603638080).

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

386609630400 is a wasteful number, since it uses less digits than its factorization.

386609630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 386609630400 in words is "three hundred eighty-six billion, six hundred nine million, six hundred thirty thousand, four hundred".