3001961088 has 480 divisors, whose sum is σ = 10974506400. Its totient is φ = 809948160.

The previous prime is 3001961041. The next prime is 3001961089. The reversal of 3001961088 is 8801691003.

3001961088 is a `hidden beast` number, since 30 + 0 + 1 + 9 + 610 + 8 + 8 = 666.

It is a super-2 number, since 2×3001961088² = 18023540747732287488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3001961089) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9652453 + ... + 9652763.

It is an arithmetic number, because the mean of its divisors is an integer number (22863555).

Almost surely, 2^3001961088 is an apocalyptic number.

3001961088 is a gapful number since it is divisible by the number (38) 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 3001961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487253200).

3001961088 is an abundant number, since it is smaller than the sum of its proper divisors (7972545312).

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

3001961088 is a wasteful number, since it uses less digits than its factorization.

3001961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 3001961088 is about 54790.1550280705. The cubic root of 3001961088 is about 1442.5637661129.

The spelling of 3001961088 in words is "three billion, one million, nine hundred sixty-one thousand, eighty-eight".