3314711400 has 384 divisors, whose sum is σ = 13799116800. Its totient is φ = 635673600.

The previous prime is 3314711383. The next prime is 3314711423. The reversal of 3314711400 is 41174133.

3314711400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597841 + ... + 603359.

It is an arithmetic number, because the mean of its divisors is an integer number (35935200).

Almost surely, 2^3314711400 is an apocalyptic number.

3314711400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899558400).

3314711400 is an abundant number, since it is smaller than the sum of its proper divisors (10484405400).

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

3314711400 is a wasteful number, since it uses less digits than its factorization.

3314711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3314711400 is about 57573.5303763804. The cubic root of 3314711400 is about 1491.0146385492.

Adding to 3314711400 its reverse (41174133), we get a palindrome (3355885533).

The spelling of 3314711400 in words is "three billion, three hundred fourteen million, seven hundred eleven thousand, four hundred".