3659672016 has 900 divisors, whose sum is σ = 15024645504. Its totient is φ = 849139200.

The previous prime is 3659671997. The next prime is 3659672017. The reversal of 3659672016 is 6102769563.

3659672016 is a `hidden beast` number, since 36 + 596 + 7 + 20 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659672017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 118053921 + ... + 118053951.

Almost surely, 2^3659672016 is an apocalyptic number.

3659672016 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 3659672016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512322752).

3659672016 is an abundant number, since it is smaller than the sum of its proper divisors (11364973488).

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

3659672016 is a wasteful number, since it uses less digits than its factorization.

3659672016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3659672016 is about 60495.2230841411. The cubic root of 3659672016 is about 1541.0405089377.

The spelling of 3659672016 in words is "three billion, six hundred fifty-nine million, six hundred seventy-two thousand, sixteen".