3758000 has 40 divisors (see below), whose sum is σ = 9091680. Its totient is φ = 1502400.

The previous prime is 3757981. The next prime is 3758017. The reversal of 3758000 is 8573.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (227292).

Almost surely, 2^3758000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545840).

3758000 is an abundant number, since it is smaller than the sum of its proper divisors (5333680).

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

3758000 is a wasteful number, since it uses less digits than its factorization.

3758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 3758000 is about 1938.5561637466. The cubic root of 3758000 is about 155.4720262055.

The spelling of 3758000 in words is "three million, seven hundred fifty-eight thousand".