3933000864 has 288 divisors, whose sum is σ = 12975200784. Its totient is φ = 1119191040.

The previous prime is 3933000853. The next prime is 3933000889. The reversal of 3933000864 is 4680003393.

It can be written as a sum of positive squares in 8 ways, for example, as 16744464 + 3916256400 = 4092^2 + 62580^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882022 + ... + 3883034.

Almost surely, 2^3933000864 is an apocalyptic number.

3933000864 is a gapful number since it is divisible by the number (34) 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 3933000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487600392).

3933000864 is an abundant number, since it is smaller than the sum of its proper divisors (9042199920).

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

3933000864 is a wasteful number, since it uses less digits than its factorization.

3933000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3933000864 is about 62713.6417695544. The cubic root of 3933000864 is about 1578.4882276338.

The spelling of 3933000864 in words is "three billion, nine hundred thirty-three million, eight hundred sixty-four", and thus it is an aban number.