386763688740 has 576 divisors, whose sum is σ = 1374197545728. Its totient is φ = 80090726400.

The previous prime is 386763688733. The next prime is 386763688849. The reversal of 386763688740 is 47886367683.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 191 ways as a sum of consecutive naturals, for example, 151255542 + ... + 151258098.

It is an arithmetic number, because the mean of its divisors is an integer number (2385759628).

Almost surely, 2^386763688740 is an apocalyptic number.

386763688740 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 386763688740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687098772864).

386763688740 is an abundant number, since it is smaller than the sum of its proper divisors (987433856988).

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

386763688740 is a wasteful number, since it uses less digits than its factorization.

386763688740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 386763688740 in words is "three hundred eighty-six billion, seven hundred sixty-three million, six hundred eighty-eight thousand, seven hundred forty".