3699936 has 72 divisors (see below), whose sum is σ = 10909080. Its totient is φ = 1188096.

The previous prime is 3699919. The next prime is 3699947. The reversal of 3699936 is 6399963.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3699891 and 3699900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8131 + ... + 8573.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

Almost surely, 2^3699936 is an apocalyptic number.

3699936 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 3699936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454540).

3699936 is an abundant number, since it is smaller than the sum of its proper divisors (7209144).

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

3699936 is a wasteful number, since it uses less digits than its factorization.

3699936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 3699936 is about 1923.5217700874. The cubic root of 3699936 is about 154.6671455924.

The spelling of 3699936 in words is "three million, six hundred ninety-nine thousand, nine hundred thirty-six".