3709924416 has 560 divisors, whose sum is σ = 13144317120. Its totient is φ = 1021870080.

The previous prime is 3709924409. The next prime is 3709924417. The reversal of 3709924416 is 6144299073.

It is a happy number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3709924417) 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 79 ways as a sum of consecutive naturals, for example, 41684500 + ... + 41684588.

Almost surely, 2^3709924416 is an apocalyptic number.

3709924416 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 3709924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572158560).

3709924416 is an abundant number, since it is smaller than the sum of its proper divisors (9434392704).

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

3709924416 is a wasteful number, since it uses less digits than its factorization.

3709924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3709924416 is about 60909.1488694433. The cubic root of 3709924416 is about 1548.0620130196.

The spelling of 3709924416 in words is "three billion, seven hundred nine million, nine hundred twenty-four thousand, four hundred sixteen".