3314213040 has 80 divisors (see below), whose sum is σ = 10298778336. Its totient is φ = 881664000.

The previous prime is 3314213033. The next prime is 3314213041. The reversal of 3314213040 is 403124133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3314212998 and 3314213016.

It is not an unprimeable number, because it can be changed into a prime (3314213041) by changing a digit.

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, 84640 + ... + 117440.

Almost surely, 2^3314213040 is an apocalyptic number.

3314213040 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 3314213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149389168).

3314213040 is an abundant number, since it is smaller than the sum of its proper divisors (6984565296).

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

3314213040 is a wasteful number, since it uses less digits than its factorization.

3314213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33238 (or 33232 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3314213040 is about 57569.2021831118. The cubic root of 3314213040 is about 1490.9399111488.

Adding to 3314213040 its reverse (403124133), we get a palindrome (3717337173).

The spelling of 3314213040 in words is "three billion, three hundred fourteen million, two hundred thirteen thousand, forty".