3959280 has 200 divisors, whose sum is σ = 15124032. Its totient is φ = 953856.

The previous prime is 3959279. The next prime is 3959287. The reversal of 3959280 is 829593.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3959287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84217 + ... + 84263.

Almost surely, 2^3959280 is an apocalyptic number.

3959280 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 3959280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016).

3959280 is an abundant number, since it is smaller than the sum of its proper divisors (11164752).

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

3959280 is a wasteful number, since it uses less digits than its factorization.

3959280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3959280 is about 1989.7939591827. The cubic root of 3959280 is about 158.1996088519.

It can be divided in two parts, 39 and 59280, that added together give a cube (59319 = 39³).

The spelling of 3959280 in words is "three million, nine hundred fifty-nine thousand, two hundred eighty".