3479616 has 84 divisors (see below), whose sum is σ = 11411712. Its totient is φ = 993024.

The previous prime is 3479573. The next prime is 3479627. The reversal of 3479616 is 6169743.

3479616 is a `hidden beast` number, since 34 + 7 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3601 + ... + 4463.

Almost surely, 2^3479616 is an apocalyptic number.

3479616 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 3479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856).

3479616 is an abundant number, since it is smaller than the sum of its proper divisors (7932096).

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

3479616 is a wasteful number, since it uses less digits than its factorization.

3479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3479616 is about 1865.3728849750. The cubic root of 3479616 is about 151.5341229546.

It can be divided in two parts, 3479 and 616, that added together give a triangular number (4095 = T₉₀).

The spelling of 3479616 in words is "three million, four hundred seventy-nine thousand, six hundred sixteen".