3706128 has 80 divisors (see below), whose sum is σ = 11130240. Its totient is φ = 1178496.

The previous prime is 3706123. The next prime is 3706133. The reversal of 3706128 is 8216073.

It is an interprime number because it is at equal distance from previous prime (3706123) and next prime (3706133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3706123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9750 + ... + 10122.

It is an arithmetic number, because the mean of its divisors is an integer number (139128).

Almost surely, 2^3706128 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 3706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565120).

3706128 is an abundant number, since it is smaller than the sum of its proper divisors (7424112).

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

3706128 is a wasteful number, since it uses less digits than its factorization.

3706128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3706128 is about 1925.1306449174. The cubic root of 3706128 is about 154.7533781841.

The spelling of 3706128 in words is "three million, seven hundred six thousand, one hundred twenty-eight".