3699072 has 144 divisors (see below), whose sum is σ = 12132900. Its totient is φ = 1078272.

The previous prime is 3699049. The next prime is 3699079. The reversal of 3699072 is 2709963.

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

It is a super-2 number, since 2×3699072² = 27366267322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3699079) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194679 + ... + 194697.

Almost surely, 2^3699072 is an apocalyptic number.

3699072 is a gapful number since it is divisible by the number (32) 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 3699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066450).

3699072 is an abundant number, since it is smaller than the sum of its proper divisors (8433828).

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

3699072 is a wasteful number, since it uses less digits than its factorization.

3699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3699072 is about 1923.2971689263. The cubic root of 3699072 is about 154.6551054907.

The spelling of 3699072 in words is "three million, six hundred ninety-nine thousand, seventy-two".