3978429 has 48 divisors (see below), whose sum is σ = 7027200. Its totient is φ = 1954368.

The previous prime is 3978421. The next prime is 3978431. The reversal of 3978429 is 9248793.

It is not a de Polignac number, because 3978429 - 2³ = 3978421 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67402 + ... + 67460.

It is an arithmetic number, because the mean of its divisors is an integer number (146400).

Almost surely, 2^3978429 is an apocalyptic number.

3978429 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3978429 is a deficient number, since it is larger than the sum of its proper divisors (3048771).

3978429 is a wasteful number, since it uses less digits than its factorization.

3978429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 3978429 is about 1994.5999598917. The cubic root of 3978429 is about 158.4542421493.

The spelling of 3978429 in words is "three million, nine hundred seventy-eight thousand, four hundred twenty-nine".