386486658662400 has 1218 divisors, whose sum is σ = 1455263766193040. Its totient is φ = 101758512660480.

The previous prime is 386486658662387. The next prime is 386486658662407. The reversal of 386486658662400 is 4266856684683.

386486658662400 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 86 + 6 + 5 + 86 + 62 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386486658662407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4892236185561 + ... + 4892236185639.

Almost surely, 2^{386486658662400} is an apocalyptic number.

386486658662400 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 386486658662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727631883096520).

386486658662400 is an abundant number, since it is smaller than the sum of its proper divisors (1068777107530640).

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

386486658662400 is an frugal number, since it uses more digits than its factorization.

386486658662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1911029760, while the sum is 72.

The spelling of 386486658662400 in words is "three hundred eighty-six trillion, four hundred eighty-six billion, six hundred fifty-eight million, six hundred sixty-two thousand, four hundred".