3421210464 has 144 divisors (see below), whose sum is σ = 11355821568. Its totient is φ = 956664576.

The previous prime is 3421210451. The next prime is 3421210477. The reversal of 3421210464 is 4640121243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3421210451) and next prime (3421210477).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76699 + ... + 112805.

It is an arithmetic number, because the mean of its divisors is an integer number (78859872).

Almost surely, 2^3421210464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421210464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677910784).

3421210464 is an abundant number, since it is smaller than the sum of its proper divisors (7934611104).

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

3421210464 is a wasteful number, since it uses less digits than its factorization.

3421210464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36177 (or 36166 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3421210464 is about 58491.1144021038. The cubic root of 3421210464 is about 1506.8149850943.

The spelling of 3421210464 in words is "three billion, four hundred twenty-one million, two hundred ten thousand, four hundred sixty-four".