3427237632 has 576 divisors, whose sum is σ = 12362112000. Its totient is φ = 817496064.

The previous prime is 3427237609. The next prime is 3427237637. The reversal of 3427237632 is 2367327243.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

Its product of digits (254016) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427237637) 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, 38508244 + ... + 38508332.

It is an arithmetic number, because the mean of its divisors is an integer number (21462000).

Almost surely, 2^3427237632 is an apocalyptic number.

3427237632 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 3427237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056000).

3427237632 is an abundant number, since it is smaller than the sum of its proper divisors (8934874368).

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

3427237632 is a wasteful number, since it uses less digits than its factorization.

3427237632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its digits is 254016, while the sum is 39.

The square root of 3427237632 is about 58542.6138125041. The cubic root of 3427237632 is about 1507.6993211306.

The spelling of 3427237632 in words is "three billion, four hundred twenty-seven million, two hundred thirty-seven thousand, six hundred thirty-two".