3471840 has 72 divisors (see below), whose sum is σ = 11852568. Its totient is φ = 925440.

The previous prime is 3471833. The next prime is 3471841. The reversal of 3471840 is 481743.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3471841) 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, 235 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (164619).

Almost surely, 2^3471840 is an apocalyptic number.

3471840 is a gapful number since it is divisible by the number (30) 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 3471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926284).

3471840 is an abundant number, since it is smaller than the sum of its proper divisors (8380728).

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

3471840 is a wasteful number, since it uses less digits than its factorization.

3471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3471840 is about 1863.2874174426. The cubic root of 3471840 is about 151.4211595145.

It can be divided in two parts, 347 and 1840, that added together give a 7-th power (2187 = 3⁷).

The spelling of 3471840 in words is "three million, four hundred seventy-one thousand, eight hundred forty".