3729180 has 96 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 785664.

The previous prime is 3729179. The next prime is 3729181. The reversal of 3729180 is 819273.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3729179) and next prime (3729181).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729181) 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, 5119 + ... + 5801.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 2^3729180 is an apocalyptic number.

3729180 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 3729180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

3729180 is an abundant number, since it is smaller than the sum of its proper divisors (9140964).

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

3729180 is a wasteful number, since it uses less digits than its factorization.

3729180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3729180 is about 1931.1084899611. The cubic root of 3729180 is about 155.0735689607.

The spelling of 3729180 in words is "three million, seven hundred twenty-nine thousand, one hundred eighty".