3693535040 has 112 divisors (see below), whose sum is σ = 9883859328. Its totient is φ = 1304438784.

The previous prime is 3693535007. The next prime is 3693535081. The reversal of 3693535040 is 405353963.

3693535040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3693534985 and 3693535003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76379 + ... + 114981.

It is an arithmetic number, because the mean of its divisors is an integer number (88248744).

Almost surely, 2^3693535040 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 3693535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941929664).

3693535040 is an abundant number, since it is smaller than the sum of its proper divisors (6190324288).

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

3693535040 is a wasteful number, since it uses less digits than its factorization.

3693535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38656 (or 38646 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 38.

The square root of 3693535040 is about 60774.4604254123. The cubic root of 3693535040 is about 1545.7790173534.

The spelling of 3693535040 in words is "three billion, six hundred ninety-three million, five hundred thirty-five thousand, forty".