3752400 has 120 divisors (see below), whose sum is σ = 12454560. Its totient is φ = 965120.

The previous prime is 3752389. The next prime is 3752401. The reversal of 3752400 is 42573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3752401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63571 + ... + 63629.

It is an arithmetic number, because the mean of its divisors is an integer number (103788).

Almost surely, 2^3752400 is an apocalyptic number.

3752400 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 3752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227280).

3752400 is an abundant number, since it is smaller than the sum of its proper divisors (8702160).

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

3752400 is a wasteful number, since it uses less digits than its factorization.

3752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3752400 is about 1937.1112513224. Note that the first 3 decimals coincide. The cubic root of 3752400 is about 155.3947620429.

Adding to 3752400 its reverse (42573), we get a palindrome (3794973).

It can be divided in two parts, 375 and 2400, that added together give a triangular number (2775 = T₇₄).

The spelling of 3752400 in words is "three million, seven hundred fifty-two thousand, four hundred".