3249792 has 192 divisors, whose sum is σ = 11880960. Its totient is φ = 829440.

The previous prime is 3249749. The next prime is 3249793. The reversal of 3249792 is 2979423.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3249792² = 21122296086528, which contains 22 as substring.

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

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

Its product of digits (27216) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (3249793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104817 + ... + 104847.

It is an arithmetic number, because the mean of its divisors is an integer number (61880).

Almost surely, 2^3249792 is an apocalyptic number.

3249792 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 3249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940480).

3249792 is an abundant number, since it is smaller than the sum of its proper divisors (8631168).

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

3249792 is a wasteful number, since it uses less digits than its factorization.

3249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3249792 is about 1802.7179479885. The cubic root of 3249792 is about 148.1216433571.

The spelling of 3249792 in words is "three million, two hundred forty-nine thousand, seven hundred ninety-two".