3140832240 has 960 divisors, whose sum is σ = 14515737600. Its totient is φ = 606154752.

The previous prime is 3140832217. The next prime is 3140832241. The reversal of 3140832240 is 422380413.

3140832240 is a `hidden beast` number, since 31 + 408 + 3 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140832241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108304546 + ... + 108304574.

It is an arithmetic number, because the mean of its divisors is an integer number (15120560).

Almost surely, 2^3140832240 is an apocalyptic number.

3140832240 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 3140832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257868800).

3140832240 is an abundant number, since it is smaller than the sum of its proper divisors (11374905360).

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

3140832240 is a wasteful number, since it uses less digits than its factorization.

3140832240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3140832240 is about 56043.1283923373. The cubic root of 3140832240 is about 1464.4737112557.

The spelling of 3140832240 in words is "three billion, one hundred forty million, eight hundred thirty-two thousand, two hundred forty".