3314400144 has 80 divisors (see below), whose sum is σ = 9539389440. Its totient is φ = 982986880.

The previous prime is 3314400113. The next prime is 3314400161. The reversal of 3314400144 is 4410044133.

3314400144 is digitally balanced in base 2 and base 4, because in such bases 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 15 ways as a sum of consecutive naturals, for example, 41964 + ... + 91595.

It is an arithmetic number, because the mean of its divisors is an integer number (119242368).

Almost surely, 2^3314400144 is an apocalyptic number.

It is an amenable number.

3314400144 is an abundant number, since it is smaller than the sum of its proper divisors (6224989296).

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

3314400144 is a wasteful number, since it uses less digits than its factorization.

3314400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133628 (or 133622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3314400144 is about 57570.8271957247. The cubic root of 3314400144 is about 1490.9679676405.

Adding to 3314400144 its reverse (4410044133), we get a palindrome (7724444277).

The spelling of 3314400144 in words is "three billion, three hundred fourteen million, four hundred thousand, one hundred forty-four".