3477456 has 120 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 1036800.

The previous prime is 3477449. The next prime is 3477493. The reversal of 3477456 is 6547743.

3477456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 + 4³ + 7² + 7⁷ + 4¹⁰ + 5⁵ + 6⁵ .

Its product of digits (70560) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3477456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84796 + ... + 84836.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 2^3477456 is an apocalyptic number.

3477456 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 3477456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3477456 is an abundant number, since it is smaller than the sum of its proper divisors (7355184).

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

3477456 is a wasteful number, since it uses less digits than its factorization.

3477456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 3477456 is about 1864.7938223836. The cubic root of 3477456 is about 151.5027611169.

The spelling of 3477456 in words is "three million, four hundred seventy-seven thousand, four hundred fifty-six".