3840591240 has 128 divisors (see below), whose sum is σ = 13215052800. Its totient is φ = 991111680.

The previous prime is 3840591233. The next prime is 3840591263. The reversal of 3840591240 is 421950483.

3840591240 is a `hidden beast` number, since 3 + 8 + 40 + 591 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3840591195 and 3840591204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23877 + ... + 90836.

It is an arithmetic number, because the mean of its divisors is an integer number (103242600).

Almost surely, 2^3840591240 is an apocalyptic number.

3840591240 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 3840591240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607526400).

3840591240 is an abundant number, since it is smaller than the sum of its proper divisors (9374461560).

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

3840591240 is a wasteful number, since it uses less digits than its factorization.

3840591240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114764 (or 114754 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3840591240 is about 61972.5039029407. The cubic root of 3840591240 is about 1566.0274213134.

The spelling of 3840591240 in words is "three billion, eight hundred forty million, five hundred ninety-one thousand, two hundred forty".