3974400 has 216 divisors, whose sum is σ = 15207360. Its totient is φ = 1013760.

The previous prime is 3974393. The next prime is 3974419. The reversal of 3974400 is 44793.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172789 + ... + 172811.

Almost surely, 2^3974400 is an apocalyptic number.

3974400 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 3974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603680).

3974400 is an abundant number, since it is smaller than the sum of its proper divisors (11232960).

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

3974400 is a wasteful number, since it uses less digits than its factorization.

3974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 33 counting only the distinct ones).

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

The square root of 3974400 is about 1993.5897271003. The cubic root of 3974400 is about 158.4007346155.

The spelling of 3974400 in words is "three million, nine hundred seventy-four thousand, four hundred".