3746628 has 48 divisors (see below), whose sum is σ = 9831360. Its totient is φ = 1233792.

The previous prime is 3746593. The next prime is 3746641. The reversal of 3746628 is 8266473.

3746628 = T₅₇ + T₅₈ + ... + T₂₈₂.

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 + 7² + 4⁹ + 6⁶ + 6⁸ + 2¹⁷ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 3746592 and 3746601.

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, 12051 + ... + 12357.

It is an arithmetic number, because the mean of its divisors is an integer number (204820).

Almost surely, 2^3746628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915680).

3746628 is an abundant number, since it is smaller than the sum of its proper divisors (6084732).

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

3746628 is a wasteful number, since it uses less digits than its factorization.

3746628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3746628 is about 1935.6208306381. The cubic root of 3746628 is about 155.3150442752.

It can be divided in two parts, 37 and 46628, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 3746628 in words is "three million, seven hundred forty-six thousand, six hundred twenty-eight".