3952080 has 120 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 956160.

The previous prime is 3952079. The next prime is 3952099. The reversal of 3952080 is 802593.

3952080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7671 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

Almost surely, 2^3952080 is an apocalyptic number.

3952080 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 3952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

3952080 is an abundant number, since it is smaller than the sum of its proper divisors (10555920).

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

3952080 is a wasteful number, since it uses less digits than its factorization.

3952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3952080 is about 1987.9839033554. The cubic root of 3952080 is about 158.1036546773.

It can be divided in two parts, 39 and 52080, that multiplied together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 3952080 in words is "three million, nine hundred fifty-two thousand, eighty".