3642421632 has 256 divisors, whose sum is σ = 10857369600. Its totient is φ = 1076428800.

The previous prime is 3642421631. The next prime is 3642421639. The reversal of 3642421632 is 2361242463.

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

It is a junction number, because it is equal to n+sod(n) for n = 3642421593 and 3642421602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642421631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8296869 + ... + 8297307.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 2^3642421632 is an apocalyptic number.

3642421632 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 3642421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428684800).

3642421632 is an abundant number, since it is smaller than the sum of its proper divisors (7214947968).

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

3642421632 is a wasteful number, since it uses less digits than its factorization.

3642421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 3642421632 is about 60352.4782589746. The cubic root of 3642421632 is about 1538.6153900948.

The spelling of 3642421632 in words is "three billion, six hundred forty-two million, four hundred twenty-one thousand, six hundred thirty-two".