3642385320 has 768 divisors, whose sum is σ = 15397724160. Its totient is φ = 755453952.

The previous prime is 3642385319. The next prime is 3642385333. The reversal of 3642385320 is 235832463.

It is a happy number.

3642385320 is a `hidden beast` number, since 3 + 642 + 3 + 8 + 5 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54363927 + ... + 54363993.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

Almost surely, 2^3642385320 is an apocalyptic number.

3642385320 is a gapful number since it is divisible by the number (30) 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 3642385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698862080).

3642385320 is an abundant number, since it is smaller than the sum of its proper divisors (11755338840).

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

3642385320 is a wasteful number, since it uses less digits than its factorization.

3642385320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3642385320 is about 60352.1774255080. The cubic root of 3642385320 is about 1538.6102771605.

The spelling of 3642385320 in words is "three billion, six hundred forty-two million, three hundred eighty-five thousand, three hundred twenty".