3422321760 has 384 divisors, whose sum is σ = 12857273856. Its totient is φ = 754237440.

The previous prime is 3422321753. The next prime is 3422321767. The reversal of 3422321760 is 671232243.

It is an interprime number because it is at equal distance from previous prime (3422321753) and next prime (3422321767).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422321767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5010379 + ... + 5011061.

It is an arithmetic number, because the mean of its divisors is an integer number (33482484).

Almost surely, 2^3422321760 is an apocalyptic number.

3422321760 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 3422321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428636928).

3422321760 is an abundant number, since it is smaller than the sum of its proper divisors (9434952096).

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

3422321760 is a wasteful number, since it uses less digits than its factorization.

3422321760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3422321760 is about 58500.6133301182. The cubic root of 3422321760 is about 1506.9781180173.

The spelling of 3422321760 in words is "three billion, four hundred twenty-two million, three hundred twenty-one thousand, seven hundred sixty".