3034314414400 has 84 divisors (see below), whose sum is σ = 7905504677148. Its totient is φ = 1142330122240.

The previous prime is 3034314414359. The next prime is 3034314414401. The reversal of 3034314414400 is 44144134303.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 344137103424 + 2690177310976 = 586632^2 + 1640176^2 .

It is a super-2 number, since 2×3034314414400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034314414401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55750639 + ... + 55805038.

Almost surely, 2^{3034314414400} is an apocalyptic number.

It is an amenable number.

3034314414400 is an abundant number, since it is smaller than the sum of its proper divisors (4871190262748).

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

3034314414400 is a wasteful number, since it uses less digits than its factorization.

3034314414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111555716 (or 111555701 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 3034314414400 its reverse (44144134303), we get a palindrome (3078458548703).

The spelling of 3034314414400 in words is "three trillion, thirty-four billion, three hundred fourteen million, four hundred fourteen thousand, four hundred".