3214011120 has 160 divisors (see below), whose sum is σ = 10513850880. Its totient is φ = 809948160.

The previous prime is 3214011113. The next prime is 3214011133. The reversal of 3214011120 is 211104123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3214011120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2876802 + ... + 2877918.

It is an arithmetic number, because the mean of its divisors is an integer number (65711568).

Almost surely, 2^3214011120 is an apocalyptic number.

3214011120 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 3214011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256925440).

3214011120 is an abundant number, since it is smaller than the sum of its proper divisors (7299839760).

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

3214011120 is a wasteful number, since it uses less digits than its factorization.

3214011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3214011120 is about 56692.2492056895. The cubic root of 3214011120 is about 1475.7601934126.

Adding to 3214011120 its reverse (211104123), we get a palindrome (3425115243).

The spelling of 3214011120 in words is "three billion, two hundred fourteen million, eleven thousand, one hundred twenty".