3000464406324 has 432 divisors, whose sum is σ = 10051260710400. Its totient is φ = 744869220480.

The previous prime is 3000464406323. The next prime is 3000464406343. The reversal of 3000464406324 is 4236044640003.

3000464406324 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 4 + 644 + 0 + 6 + 3 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000464406323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 936765307 + ... + 936768509.

It is an arithmetic number, because the mean of its divisors is an integer number (23266807200).

Almost surely, 2^{3000464406324} 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 3000464406324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025630355200).

3000464406324 is an abundant number, since it is smaller than the sum of its proper divisors (7050796304076).

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

3000464406324 is a wasteful number, since it uses less digits than its factorization.

3000464406324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 3000464406324 in words is "three trillion, four hundred sixty-four million, four hundred six thousand, three hundred twenty-four".