3479520 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 842240.

The previous prime is 3479513. The next prime is 3479537. The reversal of 3479520 is 259743.

3479520 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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 (30).

It is an Ulam number.

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 15 ways as a sum of consecutive naturals, for example, 4951 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^3479520 is an apocalyptic number.

3479520 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 3479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

3479520 is an abundant number, since it is smaller than the sum of its proper divisors (8495520).

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

3479520 is a wasteful number, since it uses less digits than its factorization.

3479520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3479520 is about 1865.3471526769. The cubic root of 3479520 is about 151.5327293707.

The spelling of 3479520 in words is "three million, four hundred seventy-nine thousand, five hundred twenty".