3002022441600 has 1152 divisors, whose sum is σ = 12632814305280. Its totient is φ = 612889804800.

The previous prime is 3002022441581. The next prime is 3002022441617. The reversal of 3002022441600 is 61442202003.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 352056537 + ... + 352065063.

It is an arithmetic number, because the mean of its divisors is an integer number (10965984640).

Almost surely, 2^{3002022441600} is an apocalyptic number.

3002022441600 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 3002022441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316407152640).

3002022441600 is an abundant number, since it is smaller than the sum of its proper divisors (9630791863680).

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

3002022441600 is a wasteful number, since it uses less digits than its factorization.

3002022441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3002022441600 its reverse (61442202003), we get a palindrome (3063464643603).

The spelling of 3002022441600 in words is "three trillion, two billion, twenty-two million, four hundred forty-one thousand, six hundred".