3420222432 has 96 divisors (see below), whose sum is σ = 9940662144. Its totient is φ = 1020940800.

The previous prime is 3420222431. The next prime is 3420222473. The reversal of 3420222432 is 2342220243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420222431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46582 + ... + 94922.

It is an arithmetic number, because the mean of its divisors is an integer number (103548564).

Almost surely, 2^3420222432 is an apocalyptic number.

3420222432 is a gapful number since it is divisible by the number (32) 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 3420222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970331072).

3420222432 is an abundant number, since it is smaller than the sum of its proper divisors (6520439712).

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

3420222432 is a wasteful number, since it uses less digits than its factorization.

3420222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48432 (or 48424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3420222432 is about 58482.6677914064. The cubic root of 3420222432 is about 1506.6699170665.

Adding to 3420222432 its reverse (2342220243), we get a palindrome (5762442675).

The spelling of 3420222432 in words is "three billion, four hundred twenty million, two hundred twenty-two thousand, four hundred thirty-two".