3642256300608 has 392 divisors, whose sum is σ = 12077822956320. Its totient is φ = 1082523709440.

The previous prime is 3642256300601. The next prime is 3642256300637. The reversal of 3642256300608 is 8060036522463.

It is a happy number.

3642256300608 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 2 + 5 + 6 + 30 + 0 + 608 = 666.

It is a super-2 number, since 2×3642256300608² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3642256300601) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14949043 + ... + 15190733.

Almost surely, 2^{3642256300608} is an apocalyptic number.

3642256300608 is a gapful number since it is divisible by the number (38) 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 3642256300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038911478160).

3642256300608 is an abundant number, since it is smaller than the sum of its proper divisors (8435566655712).

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

3642256300608 is a wasteful number, since it uses less digits than its factorization.

3642256300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241757 (or 241732 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3642256300608 in words is "three trillion, six hundred forty-two billion, two hundred fifty-six million, three hundred thousand, six hundred eight".