3547872 has 72 divisors (see below), whose sum is σ = 10273536. Its totient is φ = 1161216.

The previous prime is 3547871. The next prime is 3547879. The reversal of 3547872 is 2787453.

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

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 3¹³ + 5⁹ + 4³ + 7 + 8 + 7³ + 2 .

Its product of digits (47040) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3547871) 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, 27873 + ... + 27999.

It is an arithmetic number, because the mean of its divisors is an integer number (142688).

Almost surely, 2^3547872 is an apocalyptic number.

3547872 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 3547872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136768).

3547872 is an abundant number, since it is smaller than the sum of its proper divisors (6725664).

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

3547872 is a wasteful number, since it uses less digits than its factorization.

3547872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 3547872 is about 1883.5795709234. The cubic root of 3547872 is about 152.5185429392.

The spelling of 3547872 in words is "three million, five hundred forty-seven thousand, eight hundred seventy-two".