3507668736 has 432 divisors, whose sum is σ = 11833288320. Its totient is φ = 906854400.

The previous prime is 3507668729. The next prime is 3507668741. The reversal of 3507668736 is 6378667053.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85552876 + ... + 85552916.

Almost surely, 2^3507668736 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 3507668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916644160).

3507668736 is an abundant number, since it is smaller than the sum of its proper divisors (8325619584).

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

3507668736 is a wasteful number, since it uses less digits than its factorization.

3507668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The square root of 3507668736 is about 59225.5750162039. The cubic root of 3507668736 is about 1519.4025722326.

The spelling of 3507668736 in words is "three billion, five hundred seven million, six hundred sixty-eight thousand, seven hundred thirty-six".