3971400 has 48 divisors (see below), whose sum is σ = 12313200. Its totient is φ = 1058880.

The previous prime is 3971393. The next prime is 3971411. The reversal of 3971400 is 41793.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2710 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (256525).

Almost surely, 2^3971400 is an apocalyptic number.

3971400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3971400 is an abundant number, since it is smaller than the sum of its proper divisors (8341800).

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

3971400 is a wasteful number, since it uses less digits than its factorization.

3971400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 3971400 is about 1992.8371734791. The cubic root of 3971400 is about 158.3608693260.

It can be divided in two parts, 3971 and 400, that added together give a triangular number (4371 = T₉₃).

The spelling of 3971400 in words is "three million, nine hundred seventy-one thousand, four hundred".