3000863040 has 336 divisors, whose sum is σ = 11501396352. Its totient is φ = 649285632.

The previous prime is 3000863039. The next prime is 3000863051. The reversal of 3000863040 is 403680003.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3000863040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425302 + ... + 2426538.

Almost surely, 2^3000863040 is an apocalyptic number.

3000863040 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 3000863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750698176).

3000863040 is an abundant number, since it is smaller than the sum of its proper divisors (8500533312).

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

3000863040 is a wasteful number, since it uses less digits than its factorization.

3000863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3000863040 is about 54780.1336252478. The cubic root of 3000863040 is about 1442.3878591661.

The spelling of 3000863040 in words is "three billion, eight hundred sixty-three thousand, forty".