3214964880 has 120 divisors (see below), whose sum is σ = 10815917112. Its totient is φ = 855816192.

The previous prime is 3214964873. The next prime is 3214964881. The reversal of 3214964880 is 884694123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 3185022096 = 5472^2 + 56436^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3214964881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440622 + ... + 447858.

Almost surely, 2^3214964880 is an apocalyptic number.

3214964880 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 3214964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407958556).

3214964880 is an abundant number, since it is smaller than the sum of its proper divisors (7600952232).

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

3214964880 is a wasteful number, since it uses less digits than its factorization.

3214964880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3214964880 is about 56700.6603136154. The cubic root of 3214964880 is about 1475.9061565912.

The spelling of 3214964880 in words is "three billion, two hundred fourteen million, nine hundred sixty-four thousand, eight hundred eighty".