3314461440 has 144 divisors (see below), whose sum is σ = 11208462048. Its totient is φ = 831848448.

The previous prime is 3314461439. The next prime is 3314461453. The reversal of 3314461440 is 441644133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3314461398 and 3314461407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39894 + ... + 90666.

It is an arithmetic number, because the mean of its divisors is an integer number (77836542).

Almost surely, 2^3314461440 is an apocalyptic number.

3314461440 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 3314461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604231024).

3314461440 is an abundant number, since it is smaller than the sum of its proper divisors (7894000608).

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

3314461440 is a wasteful number, since it uses less digits than its factorization.

3314461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50814 (or 50800 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3314461440 is about 57571.3595462188. The cubic root of 3314461440 is about 1490.9771588269.

The spelling of 3314461440 in words is "three billion, three hundred fourteen million, four hundred sixty-one thousand, four hundred forty".