3407712 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 883200.

The previous prime is 3407693. The next prime is 3407743. The reversal of 3407712 is 2177043.

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

It is a super-2 number, since 2×3407712² = 23225002149888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7162 + ... + 7622.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 2^3407712 is an apocalyptic number.

3407712 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 3407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3407712 is an abundant number, since it is smaller than the sum of its proper divisors (7768992).

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

3407712 is a wasteful number, since it uses less digits than its factorization.

3407712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 3407712 is about 1845.9989165761. The cubic root of 3407712 is about 150.4830648744.

The spelling of 3407712 in words is "three million, four hundred seven thousand, seven hundred twelve".