3969760 has 48 divisors (see below), whose sum is σ = 9613296. Its totient is φ = 1548288.

The previous prime is 3969751. The next prime is 3969769. The reversal of 3969760 is 679693.

It is an interprime number because it is at equal distance from previous prime (3969751) and next prime (3969769).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3969769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6592 + ... + 7168.

It is an arithmetic number, because the mean of its divisors is an integer number (200277).

Almost surely, 2^3969760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806648).

3969760 is an abundant number, since it is smaller than the sum of its proper divisors (5643536).

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

3969760 is a wasteful number, since it uses less digits than its factorization.

3969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 3969760 is about 1992.4256573333. The cubic root of 3969760 is about 158.3390678132.

The spelling of 3969760 in words is "three million, nine hundred sixty-nine thousand, seven hundred sixty".