3642421608 has 320 divisors, whose sum is σ = 12074832000. Its totient is φ = 1004410368.

The previous prime is 3642421577. The next prime is 3642421609. The reversal of 3642421608 is 8061242463.

3642421608 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 42 + 1 + 608 = 666.

3642421608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3642421609) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26204403 + ... + 26204541.

It is an arithmetic number, because the mean of its divisors is an integer number (37733850).

Almost surely, 2^3642421608 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 3642421608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037416000).

3642421608 is an abundant number, since it is smaller than the sum of its proper divisors (8432410392).

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

3642421608 is a wasteful number, since it uses less digits than its factorization.

3642421608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3642421608 is about 60352.4780601427. The cubic root of 3642421608 is about 1538.6153867155.

The spelling of 3642421608 in words is "three billion, six hundred forty-two million, four hundred twenty-one thousand, six hundred eight".