3948768 has 36 divisors (see below), whose sum is σ = 11230128. Its totient is φ = 1316160.

The previous prime is 3948731. The next prime is 3948781. The reversal of 3948768 is 8678493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3948768³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6568 + ... + 7143.

It is an arithmetic number, because the mean of its divisors is an integer number (311948).

Almost surely, 2^3948768 is an apocalyptic number.

It is an amenable number.

3948768 is an abundant number, since it is smaller than the sum of its proper divisors (7281360).

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

3948768 is a wasteful number, since it uses less digits than its factorization.

3948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13727 (or 13716 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3948768 is about 1987.1507240267. The cubic root of 3948768 is about 158.0594766201.

The spelling of 3948768 in words is "three million, nine hundred forty-eight thousand, seven hundred sixty-eight".