3114334400 has 168 divisors, whose sum is σ = 8128991616. Its totient is φ = 1172275200.

The previous prime is 3114334367. The next prime is 3114334417. The reversal of 3114334400 is 44334113.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834352 + ... + 1836048.

Almost surely, 2^3114334400 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 3114334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064495808).

3114334400 is an abundant number, since it is smaller than the sum of its proper divisors (5014657216).

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

3114334400 is a wasteful number, since it uses less digits than its factorization.

3114334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3114334400 is about 55806.2218753429. The cubic root of 3114334400 is about 1460.3436984044.

Adding to 3114334400 its reverse (44334113), we get a palindrome (3158668513).

It can be divided in two parts, 31 and 14334400, that multiplied together give a square (444366400 = 21080²).

The spelling of 3114334400 in words is "three billion, one hundred fourteen million, three hundred thirty-four thousand, four hundred".