3729180000 has 480 divisors, whose sum is σ = 15077373696. Its totient is φ = 785664000.

The previous prime is 3729179941. The next prime is 3729180047. The reversal of 3729180000 is 819273.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3729180000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5459659 + ... + 5460341.

Almost surely, 2^3729180000 is an apocalyptic number.

3729180000 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 3729180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538686848).

3729180000 is an abundant number, since it is smaller than the sum of its proper divisors (11348193696).

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

3729180000 is a wasteful number, since it uses less digits than its factorization.

3729180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 713 counting only the distinct ones).

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

The square root of 3729180000 is about 61067.0123716561. The cubic root of 3729180000 is about 1550.7356896066.

Adding to 3729180000 its reverse (819273), we get a palindrome (3729999273).

The spelling of 3729180000 in words is "three billion, seven hundred twenty-nine million, one hundred eighty thousand".