383690000 has 200 divisors, whose sum is σ = 1026740088. Its totient is φ = 138240000.

The previous prime is 383689997. The next prime is 383690029. The reversal of 383690000 is 96383.

It can be written as a sum of positive squares in 20 ways, for example, as 371101696 + 12588304 = 19264^2 + 3548^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×383690000² = 294436032200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6289970 + ... + 6290030.

Almost surely, 2^383690000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513370044).

383690000 is an abundant number, since it is smaller than the sum of its proper divisors (643050088).

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

383690000 is a wasteful number, since it uses less digits than its factorization.

383690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 383690000 is about 19588.0065346119. The cubic root of 383690000 is about 726.6525916342.

The spelling of 383690000 in words is "three hundred eighty-three million, six hundred ninety thousand".