3958560 has 72 divisors (see below), whose sum is σ = 13513500. Its totient is φ = 1055232.

The previous prime is 3958543. The next prime is 3958583. The reversal of 3958560 is 658593.

3958560 is a `hidden beast` number, since 3 + 95 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 318096 = 1908^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 2814.

Almost surely, 2^3958560 is an apocalyptic number.

3958560 is a gapful number since it is divisible by the number (30) 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 3958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756750).

3958560 is an abundant number, since it is smaller than the sum of its proper divisors (9554940).

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

3958560 is a wasteful number, since it uses less digits than its factorization.

3958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3958560 is about 1989.6130277016. The cubic root of 3958560 is about 158.1900186719.

The spelling of 3958560 in words is "three million, nine hundred fifty-eight thousand, five hundred sixty".