3956946 has 48 divisors (see below), whose sum is σ = 9450144. Its totient is φ = 1100736.

The previous prime is 3956941. The next prime is 3956957. The reversal of 3956946 is 6496593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 3 + 9³ + 5 + 6⁸ + 9⁶ + 4⁸ + 6⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 3956898 and 3956907.

It is not an unprimeable number, because it can be changed into a prime (3956941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12486 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (196878).

Almost surely, 2^3956946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725072).

3956946 is an abundant number, since it is smaller than the sum of its proper divisors (5493198).

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

3956946 is a wasteful number, since it uses less digits than its factorization.

3956946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 368 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 3956946 is about 1989.2073798375. The cubic root of 3956946 is about 158.1685164592.

The spelling of 3956946 in words is "three million, nine hundred fifty-six thousand, nine hundred forty-six".