3000641644 has 144 divisors (see below), whose sum is σ = 7508422656. Its totient is φ = 1015372800.

The previous prime is 3000641641. The next prime is 3000641659. The reversal of 3000641644 is 4461460003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3000641641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883189 + ... + 886579.

It is an arithmetic number, because the mean of its divisors is an integer number (52141824).

Almost surely, 2^3000641644 is an apocalyptic number.

3000641644 is a gapful number since it is divisible by the number (34) 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 3000641644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754211328).

3000641644 is an abundant number, since it is smaller than the sum of its proper divisors (4507781012).

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

3000641644 is a wasteful number, since it uses less digits than its factorization.

3000641644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3000641644 is about 54778.1128188988. The cubic root of 3000641644 is about 1442.3523863980.

The spelling of 3000641644 in words is "three billion, six hundred forty-one thousand, six hundred forty-four".