3899535840 has 288 divisors, whose sum is σ = 13823986176. Its totient is φ = 1000258560.

The previous prime is 3899535833. The next prime is 3899535841. The reversal of 3899535840 is 485359983.

3899535840 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 53 + 584 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3899535841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4395877 + ... + 4396763.

It is an arithmetic number, because the mean of its divisors is an integer number (47999952).

Almost surely, 2^3899535840 is an apocalyptic number.

3899535840 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 3899535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911993088).

3899535840 is an abundant number, since it is smaller than the sum of its proper divisors (9924450336).

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

3899535840 is a wasteful number, since it uses less digits than its factorization.

3899535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 3899535840 is about 62446.2636192110. The cubic root of 3899535840 is about 1573.9984683321.

The spelling of 3899535840 in words is "three billion, eight hundred ninety-nine million, five hundred thirty-five thousand, eight hundred forty".