3947400 has 192 divisors, whose sum is σ = 14731200. Its totient is φ = 967680.

The previous prime is 3947369. The next prime is 3947401. The reversal of 3947400 is 47493.

3947400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3947401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91779 + ... + 91821.

It is an arithmetic number, because the mean of its divisors is an integer number (76725).

Almost surely, 2^3947400 is an apocalyptic number.

3947400 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 3947400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365600).

3947400 is an abundant number, since it is smaller than the sum of its proper divisors (10783800).

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

3947400 is a wasteful number, since it uses less digits than its factorization.

3947400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3947400 is about 1986.8064827758. The cubic root of 3947400 is about 158.0412219528.

The spelling of 3947400 in words is "three million, nine hundred forty-seven thousand, four hundred".