3752000 has 112 divisors (see below), whose sum is σ = 10777728. Its totient is φ = 1267200.

The previous prime is 3751919. The next prime is 3752009. The reversal of 3752000 is 2573.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3752000.

It is not an unprimeable number, because it can be changed into a prime (3752009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55967 + ... + 56033.

Almost surely, 2^3752000 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 3752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388864).

3752000 is an abundant number, since it is smaller than the sum of its proper divisors (7025728).

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

3752000 is an equidigital number, since it uses as much as digits as its factorization.

3752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 3752000 is about 1937.0080020485. The cubic root of 3752000 is about 155.3892402335.

Adding to 3752000 its reverse (2573), we get a palindrome (3754573).

The spelling of 3752000 in words is "three million, seven hundred fifty-two thousand".