3833160240 has 240 divisors, whose sum is σ = 14886734688. Its totient is φ = 808722432.

The previous prime is 3833160229. The next prime is 3833160241. The reversal of 3833160240 is 420613383.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3833160198 and 3833160207.

It is not an unprimeable number, because it can be changed into a prime (3833160241) 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, 140344 + ... + 165416.

Almost surely, 2^3833160240 is an apocalyptic number.

3833160240 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 3833160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443367344).

3833160240 is an abundant number, since it is smaller than the sum of its proper divisors (11053574448).

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

3833160240 is a wasteful number, since it uses less digits than its factorization.

3833160240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25116 (or 25103 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3833160240 is about 61912.5208661382. The cubic root of 3833160240 is about 1565.0167554610.

The spelling of 3833160240 in words is "three billion, eight hundred thirty-three million, one hundred sixty thousand, two hundred forty".