3705312 has 48 divisors (see below), whose sum is σ = 10478160. Its totient is φ = 1139712.

The previous prime is 3705311. The next prime is 3705329. The reversal of 3705312 is 2135073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 2732.

It is an arithmetic number, because the mean of its divisors is an integer number (218295).

Almost surely, 2^3705312 is an apocalyptic number.

3705312 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 3705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239080).

3705312 is an abundant number, since it is smaller than the sum of its proper divisors (6772848).

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

3705312 is a wasteful number, since it uses less digits than its factorization.

3705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 3705312 is about 1924.9186995819. The cubic root of 3705312 is about 154.7420196966.

It can be divided in two parts, 3705 and 312, that multiplied together give a triangular number (1155960 = T₁₅₂₀).

The spelling of 3705312 in words is "three million, seven hundred five thousand, three hundred twelve".