3005987760 has 400 divisors, whose sum is σ = 11070791424. Its totient is φ = 757506816.

The previous prime is 3005987759. The next prime is 3005987771. The reversal of 3005987760 is 677895003.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36216679 + ... + 36216761.

Almost surely, 2^3005987760 is an apocalyptic number.

3005987760 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 3005987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535395712).

3005987760 is an abundant number, since it is smaller than the sum of its proper divisors (8064803664).

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

3005987760 is an frugal number, since it uses more digits than its factorization.

3005987760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3005987760 is about 54826.8890235439. The cubic root of 3005987760 is about 1443.2084708813.

The spelling of 3005987760 in words is "three billion, five million, nine hundred eighty-seven thousand, seven hundred sixty".