3952560 has 80 divisors (see below), whose sum is σ = 12570624. Its totient is φ = 1026816.

The previous prime is 3952549. The next prime is 3952561. The reversal of 3952560 is 652593.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (3952561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10129 + ... + 10511.

Almost surely, 2^3952560 is an apocalyptic number.

3952560 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 3952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285312).

3952560 is an abundant number, since it is smaller than the sum of its proper divisors (8618064).

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

3952560 is a wasteful number, since it uses less digits than its factorization.

3952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 3952560 is about 1988.1046250135. The cubic root of 3952560 is about 158.1100552463.

The spelling of 3952560 in words is "three million, nine hundred fifty-two thousand, five hundred sixty".