385764000 has 384 divisors, whose sum is σ = 1403910144. Its totient is φ = 92160000.

The previous prime is 385763993. The next prime is 385764019. The reversal of 385764000 is 467583.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6323970 + ... + 6324030.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^385764000 is an apocalyptic number.

385764000 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 385764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

385764000 is an abundant number, since it is smaller than the sum of its proper divisors (1018146144).

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

385764000 is a wasteful number, since it uses less digits than its factorization.

385764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 385764000 is about 19640.8757442228. The cubic root of 385764000 is about 727.9595235717.

The spelling of 385764000 in words is "three hundred eighty-five million, seven hundred sixty-four thousand".