3000013824 has 88 divisors (see below), whose sum is σ = 8024698528. Its totient is φ = 996433920.

The previous prime is 3000013811. The next prime is 3000013853. The reversal of 3000013824 is 4283100003.

It is a happy number.

It is a super-2 number, since 2×3000013824² = 18000165888382205952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3000013824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941514 + ... + 944694.

It is an arithmetic number, because the mean of its divisors is an integer number (91189756).

Almost surely, 2^3000013824 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 3000013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012349264).

3000013824 is an abundant number, since it is smaller than the sum of its proper divisors (5024684704).

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

3000013824 is a wasteful number, since it uses less digits than its factorization.

3000013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3000013824 is about 54772.3819456485. The cubic root of 3000013824 is about 1442.2517855993.

Adding to 3000013824 its reverse (4283100003), we get a palindrome (7283113827).

The spelling of 3000013824 in words is "three billion, thirteen thousand, eight hundred twenty-four".