3975180 has 96 divisors (see below), whose sum is σ = 12821760. Its totient is φ = 910080.

The previous prime is 3975173. The next prime is 3975193. The reversal of 3975180 is 815793.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12382 + ... + 12698.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

Almost surely, 2^3975180 is an apocalyptic number.

3975180 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 3975180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410880).

3975180 is an abundant number, since it is smaller than the sum of its proper divisors (8846580).

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

3975180 is a wasteful number, since it uses less digits than its factorization.

3975180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 3975180 is about 1993.7853445143. The cubic root of 3975180 is about 158.4110963046.

The spelling of 3975180 in words is "three million, nine hundred seventy-five thousand, one hundred eighty".