3916080 has 240 divisors, whose sum is σ = 16115040. Its totient is φ = 870912.

The previous prime is 3916079. The next prime is 3916091. The reversal of 3916080 is 806193.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105822 + ... + 105858.

It is an arithmetic number, because the mean of its divisors is an integer number (67146).

Almost surely, 2^3916080 is an apocalyptic number.

3916080 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 3916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057520).

3916080 is an abundant number, since it is smaller than the sum of its proper divisors (12198960).

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

3916080 is a wasteful number, since it uses less digits than its factorization.

3916080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3916080 is about 1978.9087902175. The cubic root of 3916080 is about 157.6221274985.

The spelling of 3916080 in words is "three million, nine hundred sixteen thousand, eighty".