3668607936 has 392 divisors, whose sum is σ = 12792821760. Its totient is φ = 1021579776.

The previous prime is 3668607869. The next prime is 3668607947. The reversal of 3668607936 is 6397068663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15349705 + ... + 15349943.

Almost surely, 2^3668607936 is an apocalyptic number.

3668607936 is a gapful number since it is divisible by the number (36) 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 3668607936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396410880).

3668607936 is an abundant number, since it is smaller than the sum of its proper divisors (9124213824).

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

3668607936 is an equidigital number, since it uses as much as digits as its factorization.

3668607936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 3668607936 is about 60569.0344648154. The cubic root of 3668607936 is about 1542.2937562047.

The spelling of 3668607936 in words is "three billion, six hundred sixty-eight million, six hundred seven thousand, nine hundred thirty-six".