3735969516 has 72 divisors (see below), whose sum is σ = 9686300624. Its totient is φ = 1213470720.

The previous prime is 3735969509. The next prime is 3735969551. The reversal of 3735969516 is 6159695373.

3735969516 is a `hidden beast` number, since 3 + 7 + 35 + 96 + 9 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704796 + ... + 710076.

Almost surely, 2^3735969516 is an apocalyptic number.

3735969516 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 3735969516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843150312).

3735969516 is an abundant number, since it is smaller than the sum of its proper divisors (5950331108).

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

3735969516 is a wasteful number, since it uses less digits than its factorization.

3735969516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5786 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 54.

The square root of 3735969516 is about 61122.5777924982. The cubic root of 3735969516 is about 1551.6762325255.

The spelling of 3735969516 in words is "three billion, seven hundred thirty-five million, nine hundred sixty-nine thousand, five hundred sixteen".