3314214303400 has 576 divisors, whose sum is σ = 10548386110080. Its totient is φ = 951935846400.

The previous prime is 3314214303397. The next prime is 3314214303409. The reversal of 3314214303400 is 43034124133.

It is a super-2 number, since 2×3314214303400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3314214303409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1018816174 + ... + 1018819426.

It is an arithmetic number, because the mean of its divisors is an integer number (18313170330).

Almost surely, 2^{3314214303400} 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 3314214303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274193055040).

3314214303400 is an abundant number, since it is smaller than the sum of its proper divisors (7234171806680).

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

3314214303400 is a wasteful number, since it uses less digits than its factorization.

3314214303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3314214303400 its reverse (43034124133), we get a palindrome (3357248427533).

The spelling of 3314214303400 in words is "three trillion, three hundred fourteen billion, two hundred fourteen million, three hundred three thousand, four hundred".