3758400 has 210 divisors, whose sum is σ = 14291310. Its totient is φ = 967680.

The previous prime is 3758387. The next prime is 3758413. The reversal of 3758400 is 48573.

It is an interprime number because it is at equal distance from previous prime (3758387) and next prime (3758413).

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 3504384 = 504^2 + 1872^2 .

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 29 ways as a sum of consecutive naturals, for example, 129586 + ... + 129614.

Almost surely, 2^3758400 is an apocalyptic number.

3758400 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 3758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145655).

3758400 is an abundant number, since it is smaller than the sum of its proper divisors (10532910).

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

3758400 is a wasteful number, since it uses less digits than its factorization.

3758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

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

The square root of 3758400 is about 1938.6593305684. The cubic root of 3758400 is about 155.4775421364.

The spelling of 3758400 in words is "three million, seven hundred fifty-eight thousand, four hundred".