3954160 has 80 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 1292544.

The previous prime is 3954131. The next prime is 3954199. The reversal of 3954160 is 614593.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 12727 + ... + 13033.

Almost surely, 2^3954160 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 3954160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3954160 is an abundant number, since it is smaller than the sum of its proper divisors (7045136).

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

3954160 is a wasteful number, since it uses less digits than its factorization.

3954160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 3954160 is about 1988.5069776091. The cubic root of 3954160 is about 158.1313867345.

It can be divided in two parts, 39541 and 60, that added together give a square (39601 = 199²).

The spelling of 3954160 in words is "three million, nine hundred fifty-four thousand, one hundred sixty".