3646272 has 56 divisors (see below), whose sum is σ = 11029696. Its totient is φ = 1041408.

The previous prime is 3646261. The next prime is 3646289. The reversal of 3646272 is 2726463.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×3646272³ (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 2700.

Almost surely, 2^3646272 is an apocalyptic number.

3646272 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 3646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514848).

3646272 is an abundant number, since it is smaller than the sum of its proper divisors (7383424).

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

3646272 is a wasteful number, since it uses less digits than its factorization.

3646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2725 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3646272 is about 1909.5214060073. The cubic root of 3646272 is about 153.9157350893.

The spelling of 3646272 in words is "three million, six hundred forty-six thousand, two hundred seventy-two".