386370000 has 350 divisors, whose sum is σ = 1428981642. Its totient is φ = 101088000.

The previous prime is 386369969. The next prime is 386370041. The reversal of 386370000 is 73683.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 109746576 + 276623424 = 10476^2 + 16632^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 69 ways as a sum of consecutive naturals, for example, 7289974 + ... + 7290026.

Almost surely, 2^386370000 is an apocalyptic number.

386370000 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 386370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714490821).

386370000 is an abundant number, since it is smaller than the sum of its proper divisors (1042611642).

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

386370000 is an frugal number, since it uses more digits than its factorization.

386370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 386370000 is about 19656.2967010574. The cubic root of 386370000 is about 728.3405101110.

The spelling of 386370000 in words is "three hundred eighty-six million, three hundred seventy thousand".