3746664 has 48 divisors (see below), whose sum is σ = 10747620. Its totient is φ = 1175040.

The previous prime is 3746663. The next prime is 3746671. The reversal of 3746664 is 4666473.

3746664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3090564 + 656100 = 1758^2 + 810^2 .

It is a super-2 number, since 2×3746664² = 28074982257792, which contains 22 as substring.

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 + 7⁷ + 4³ + 6 + 6³ + 6⁷ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 307 + ... + 2754.

Almost surely, 2^3746664 is an apocalyptic number.

3746664 is a gapful number since it is divisible by the number (34) 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 3746664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373810).

3746664 is an abundant number, since it is smaller than the sum of its proper divisors (7000956).

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

3746664 is a wasteful number, since it uses less digits than its factorization.

3746664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3083 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3746664 is about 1935.6301299577. The cubic root of 3746664 is about 155.3155417291.

The spelling of 3746664 in words is "three million, seven hundred forty-six thousand, six hundred sixty-four".