3732000 has 96 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 992000.

The previous prime is 3731989. The next prime is 3732007. The reversal of 3732000 is 2373.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3732007) 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, 11845 + ... + 12155.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 2^3732000 is an apocalyptic number.

3732000 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 3732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

3732000 is an abundant number, since it is smaller than the sum of its proper divisors (8533344).

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

3732000 is a wasteful number, since it uses less digits than its factorization.

3732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 3732000 is about 1931.8385025669. The cubic root of 3732000 is about 155.1126479074.

Adding to 3732000 its reverse (2373), we get a palindrome (3734373).

The spelling of 3732000 in words is "three million, seven hundred thirty-two thousand".