3001821264 has 360 divisors, whose sum is σ = 9855226368. Its totient is φ = 850037760.

The previous prime is 3001821259. The next prime is 3001821269. The reversal of 3001821264 is 4621281003.

It is an interprime number because it is at equal distance from previous prime (3001821259) and next prime (3001821269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001821269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17351482 + ... + 17351654.

Almost surely, 2^3001821264 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 3001821264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927613184).

3001821264 is an abundant number, since it is smaller than the sum of its proper divisors (6853405104).

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

3001821264 is a wasteful number, since it uses less digits than its factorization.

3001821264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3001821264 is about 54788.8790175525. The cubic root of 3001821264 is about 1442.5413687353.

The spelling of 3001821264 in words is "three billion, one million, eight hundred twenty-one thousand, two hundred sixty-four".