3742000 has 40 divisors (see below), whose sum is σ = 9052992. Its totient is φ = 1496000.

The previous prime is 3741977. The next prime is 3742009. The reversal of 3742000 is 2473.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3742009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065 + ... + 2935.

Almost surely, 2^3742000 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 3742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526496).

3742000 is an abundant number, since it is smaller than the sum of its proper divisors (5310992).

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

3742000 is a wasteful number, since it uses less digits than its factorization.

3742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 3742000 is about 1934.4249791605. The cubic root of 3742000 is about 155.2510672633.

Adding to 3742000 its reverse (2473), we get a palindrome (3744473).

The spelling of 3742000 in words is "three million, seven hundred forty-two thousand".