3947520 has 88 divisors (see below), whose sum is σ = 12675024. Its totient is φ = 1048576.

The previous prime is 3947507. The next prime is 3947533. The reversal of 3947520 is 257493.

It is an interprime number because it is at equal distance from previous prime (3947507) and next prime (3947533).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 3947520 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15232 + ... + 15488.

Almost surely, 2^3947520 is an apocalyptic number.

3947520 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 3947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337512).

3947520 is an abundant number, since it is smaller than the sum of its proper divisors (8727504).

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

3947520 is a wasteful number, since it uses less digits than its factorization.

3947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3947520 is about 1986.8366817632. The cubic root of 3947520 is about 158.0428234081.

The spelling of 3947520 in words is "three million, nine hundred forty-seven thousand, five hundred twenty".