3873585240 has 336 divisors, whose sum is σ = 15206428080. Its totient is φ = 885064320.

The previous prime is 3873585223. The next prime is 3873585257. The reversal of 3873585240 is 425853783.

3873585240 is a `hidden beast` number, since 3 + 8 + 73 + 58 + 524 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3873585223) and next prime (3873585257).

It is a super-2 number, since 2×3873585240² = 30009325223091715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1427485 + ... + 1430195.

Almost surely, 2^3873585240 is an apocalyptic number.

3873585240 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 3873585240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603214040).

3873585240 is an abundant number, since it is smaller than the sum of its proper divisors (11332842840).

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

3873585240 is a wasteful number, since it uses less digits than its factorization.

3873585240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 3873585240 is about 62238.1333267636. The cubic root of 3873585240 is about 1570.4991502528.

The spelling of 3873585240 in words is "three billion, eight hundred seventy-three million, five hundred eighty-five thousand, two hundred forty".