3086294400 has 720 divisors, whose sum is σ = 13303071540. Its totient is φ = 705438720.

The previous prime is 3086294381. The next prime is 3086294401. The reversal of 3086294400 is 44926803.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086294401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 440899197 + ... + 440899203.

Almost surely, 2^3086294400 is an apocalyptic number.

3086294400 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 3086294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651535770).

3086294400 is an abundant number, since it is smaller than the sum of its proper divisors (10216777140).

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

3086294400 is an frugal number, since it uses more digits than its factorization.

3086294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3086294400 is about 55554.4273663225. The cubic root of 3086294400 is about 1455.9477298790.

The spelling of 3086294400 in words is "three billion, eighty-six million, two hundred ninety-four thousand, four hundred".