3874800 has 60 divisors (see below), whose sum is σ = 12416120. Its totient is φ = 1032960.

The previous prime is 3874799. The next prime is 3874807. The reversal of 3874800 is 84783.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415 + ... + 2814.

Almost surely, 2^3874800 is an apocalyptic number.

3874800 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 3874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208060).

3874800 is an abundant number, since it is smaller than the sum of its proper divisors (8541320).

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

3874800 is a wasteful number, since it uses less digits than its factorization.

3874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3874800 is about 1968.4511677967. The cubic root of 3874800 is about 157.0663303102.

It can be divided in two parts, 3 and 874800, that multiplied together give a square (2624400 = 1620²).

The spelling of 3874800 in words is "three million, eight hundred seventy-four thousand, eight hundred".