3085431800 has 192 divisors, whose sum is σ = 8177824800. Its totient is φ = 1072332800.

The previous prime is 3085431751. The next prime is 3085431809. The reversal of 3085431800 is 81345803.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085431809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8740424 + ... + 8740776.

Almost surely, 2^3085431800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085431800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088912400).

3085431800 is an abundant number, since it is smaller than the sum of its proper divisors (5092393000).

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

3085431800 is a wasteful number, since it uses less digits than its factorization.

3085431800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3085431800 is about 55546.6632661225. The cubic root of 3085431800 is about 1455.8120744756.

The spelling of 3085431800 in words is "three billion, eighty-five million, four hundred thirty-one thousand, eight hundred".