3086400240 has 720 divisors, whose sum is σ = 13649438880. Its totient is φ = 638668800.

The previous prime is 3086400221. The next prime is 3086400259. The reversal of 3086400240 is 420046803.

It is an interprime number because it is at equal distance from previous prime (3086400221) and next prime (3086400259).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12806520 + ... + 12806760.

It is an arithmetic number, because the mean of its divisors is an integer number (18957554).

Almost surely, 2^3086400240 is an apocalyptic number.

3086400240 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 3086400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824719440).

3086400240 is an abundant number, since it is smaller than the sum of its proper divisors (10563038640).

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

3086400240 is a wasteful number, since it uses less digits than its factorization.

3086400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

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

The square root of 3086400240 is about 55555.3799375002. The cubic root of 3086400240 is about 1455.9643728955.

The spelling of 3086400240 in words is "three billion, eighty-six million, four hundred thousand, two hundred forty".