3738000 has 160 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 844800.

The previous prime is 3737989. The next prime is 3738001. The reversal of 3738000 is 8373.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41956 + ... + 42044.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^3738000 is an apocalyptic number.

3738000 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 3738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

3738000 is an abundant number, since it is smaller than the sum of its proper divisors (10189680).

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

3738000 is a wasteful number, since it uses less digits than its factorization.

3738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3738000 is about 1933.3908037435. The cubic root of 3738000 is about 155.1957291488.

The spelling of 3738000 in words is "three million, seven hundred thirty-eight thousand".