3693735360 has 336 divisors, whose sum is σ = 14798137536. Its totient is φ = 828112896.

The previous prime is 3693735359. The next prime is 3693735361. The reversal of 3693735360 is 635373963.

It is a happy number.

3693735360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3693735359) and next prime (3693735361).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3693735361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066752 + ... + 1070208.

It is an arithmetic number, because the mean of its divisors is an integer number (44042076).

Almost surely, 2^3693735360 is an apocalyptic number.

3693735360 is a gapful number since it is divisible by the number (30) 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 3693735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399068768).

3693735360 is an abundant number, since it is smaller than the sum of its proper divisors (11104402176).

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

3693735360 is a wasteful number, since it uses less digits than its factorization.

3693735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 45.

The square root of 3693735360 is about 60776.1084637705. The cubic root of 3693735360 is about 1545.8069621138.

The spelling of 3693735360 in words is "three billion, six hundred ninety-three million, seven hundred thirty-five thousand, three hundred sixty".