3548736 has 84 divisors (see below), whose sum is σ = 10440924. Its totient is φ = 1152000.

The previous prime is 3548731. The next prime is 3548737. The reversal of 3548736 is 6378453.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 1806336 = 1320^2 + 1344^2 .

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

It is a d-powerful number, because it can be written as 3⁵ + 5⁹ + 4⁵ + 8 + 7 + 3¹³ + 6 .

Its product of digits (60480) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 3548736.

It is not an unprimeable number, because it can be changed into a prime (3548731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35086 + ... + 35186.

Almost surely, 2^3548736 is an apocalyptic number.

3548736 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 3548736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220462).

3548736 is an abundant number, since it is smaller than the sum of its proper divisors (6892188).

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

3548736 is a wasteful number, since it uses less digits than its factorization.

3548736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3548736 is about 1883.8089075063. The cubic root of 3548736 is about 152.5309226911.

The spelling of 3548736 in words is "three million, five hundred forty-eight thousand, seven hundred thirty-six".