3754800 has 180 divisors, whose sum is σ = 14991600. Its totient is φ = 852480.

The previous prime is 3754789. The next prime is 3754811. The reversal of 3754800 is 84573.

It is an interprime number because it is at equal distance from previous prime (3754789) and next prime (3754811).

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25126 + ... + 25274.

Almost surely, 2^3754800 is an apocalyptic number.

3754800 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 3754800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495800).

3754800 is an abundant number, since it is smaller than the sum of its proper divisors (11236800).

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

3754800 is a wasteful number, since it uses less digits than its factorization.

3754800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3754800 is about 1937.7306314346. The cubic root of 3754800 is about 155.4278846619.

It can be divided in two parts, 3754 and 800, that added together give a palindrome (4554).

The spelling of 3754800 in words is "three million, seven hundred fifty-four thousand, eight hundred".