3693354336 has 144 divisors (see below), whose sum is σ = 12022553088. Its totient is φ = 1053561600.

The previous prime is 3693354299. The next prime is 3693354361. The reversal of 3693354336 is 6334533963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3693354291 and 3693354300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1835571 + ... + 1837581.

It is an arithmetic number, because the mean of its divisors is an integer number (83489952).

Almost surely, 2^3693354336 is an apocalyptic number.

3693354336 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 3693354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011276544).

3693354336 is an abundant number, since it is smaller than the sum of its proper divisors (8329198752).

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

3693354336 is a wasteful number, since it uses less digits than its factorization.

3693354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2934 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 45.

The square root of 3693354336 is about 60772.9737301047. The cubic root of 3693354336 is about 1545.7538081700.

The spelling of 3693354336 in words is "three billion, six hundred ninety-three million, three hundred fifty-four thousand, three hundred thirty-six".