3013414432344 has 72 divisors (see below), whose sum is σ = 8365242982980. Its totient is φ = 979972133760.

The previous prime is 3013414432307. The next prime is 3013414432349. The reversal of 3013414432344 is 4432344143103.

3013414432344 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 414 + 4 + 3 + 234 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3013414432344² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3013414432299 and 3013414432308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013414432349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12327802 + ... + 12569865.

Almost surely, 2^{3013414432344} is an apocalyptic number.

It is an amenable number.

3013414432344 is an abundant number, since it is smaller than the sum of its proper divisors (5351828550636).

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

3013414432344 is a wasteful number, since it uses less digits than its factorization.

3013414432344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24897761 (or 24897713 counting only the distinct ones).

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

Adding to 3013414432344 its reverse (4432344143103), we get a palindrome (7445758575447).

The spelling of 3013414432344 in words is "three trillion, thirteen billion, four hundred fourteen million, four hundred thirty-two thousand, three hundred forty-four".