3958080 has 224 divisors, whose sum is σ = 15605760. Its totient is φ = 829440.

The previous prime is 3958069. The next prime is 3958091. The reversal of 3958080 is 808593.

3958080 = T₁₈₅ + T₁₈₆ + ... + T₃₁₀.

It is an interprime number because it is at equal distance from previous prime (3958069) and next prime (3958091).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 127665 + ... + 127695.

Almost surely, 2^3958080 is an apocalyptic number.

3958080 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 3958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

3958080 is an abundant number, since it is smaller than the sum of its proper divisors (11647680).

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

3958080 is a wasteful number, since it uses less digits than its factorization.

3958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 3958080 is about 1989.4923975728. The cubic root of 3958080 is about 158.1836245725.

The spelling of 3958080 in words is "three million, nine hundred fifty-eight thousand, eighty".