386349600 has 576 divisors, whose sum is σ = 1627395840. Its totient is φ = 77414400.

The previous prime is 386349589. The next prime is 386349611. The reversal of 386349600 is 6943683.

It is an interprime number because it is at equal distance from previous prime (386349589) and next prime (386349611).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6333570 + ... + 6333630.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2^386349600 is an apocalyptic number.

386349600 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 386349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813697920).

386349600 is an abundant number, since it is smaller than the sum of its proper divisors (1241046240).

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

386349600 is a wasteful number, since it uses less digits than its factorization.

386349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 386349600 is about 19655.7777765216. Note that the first 5 decimals coincide. The cubic root of 386349600 is about 728.3276913035.

The spelling of 386349600 in words is "three hundred eighty-six million, three hundred forty-nine thousand, six hundred".