3427341372 has 576 divisors, whose sum is σ = 12328243200. Its totient is φ = 776355840.

The previous prime is 3427341371. The next prime is 3427341397. The reversal of 3427341372 is 2731437243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427341371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43384029 + ... + 43384107.

It is an arithmetic number, because the mean of its divisors is an integer number (21403200).

Almost surely, 2^3427341372 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 3427341372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164121600).

3427341372 is an abundant number, since it is smaller than the sum of its proper divisors (8900901828).

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

3427341372 is a wasteful number, since it uses less digits than its factorization.

3427341372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 3427341372 is about 58543.4998270517. The cubic root of 3427341372 is about 1507.7145332991.

The spelling of 3427341372 in words is "three billion, four hundred twenty-seven million, three hundred forty-one thousand, three hundred seventy-two".