386217512640 has 672 divisors, whose sum is σ = 1449378717696. Its totient is φ = 97756139520.

The previous prime is 386217512599. The next prime is 386217512647. The reversal of 386217512640 is 46215712683.

386217512640 is a `hidden beast` number, since 3 + 8 + 62 + 17 + 512 + 64 + 0 = 666.

386217512640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (386217512647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127758169 + ... + 127761191.

It is an arithmetic number, because the mean of its divisors is an integer number (2156813568).

Almost surely, 2^386217512640 is an apocalyptic number.

386217512640 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 386217512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724689358848).

386217512640 is an abundant number, since it is smaller than the sum of its proper divisors (1063161205056).

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

386217512640 is a wasteful number, since it uses less digits than its factorization.

386217512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 386217512640 in words is "three hundred eighty-six billion, two hundred seventeen million, five hundred twelve thousand, six hundred forty".