3391872 has 96 divisors (see below), whose sum is σ = 10038840. Its totient is φ = 1013760.

The previous prime is 3391859. The next prime is 3391877. The reversal of 3391872 is 2781933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (9072) is a multiple of the sum of its prime factors (112).

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 (3391877) 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, 46428 + ... + 46500.

Almost surely, 2^3391872 is an apocalyptic number.

3391872 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 3391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019420).

3391872 is an abundant number, since it is smaller than the sum of its proper divisors (6646968).

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

3391872 is a wasteful number, since it uses less digits than its factorization.

3391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 3391872 is about 1841.7035592082. The cubic root of 3391872 is about 150.2495401900.

It can be divided in two parts, 339 and 1872, that added together give a triangular number (2211 = T₆₆).

The spelling of 3391872 in words is "three million, three hundred ninety-one thousand, eight hundred seventy-two".