3729149138800 has 120 divisors (see below), whose sum is σ = 8980544261952. Its totient is φ = 1488122496000.

The previous prime is 3729149138783. The next prime is 3729149138809. The reversal of 3729149138800 is 88319419273.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729149138809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593149257 + ... + 593155543.

Almost surely, 2^{3729149138800} 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 3729149138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490272130976).

3729149138800 is an abundant number, since it is smaller than the sum of its proper divisors (5251395123152).

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

3729149138800 is a wasteful number, since it uses less digits than its factorization.

3729149138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 3729149138800 in words is "three trillion, seven hundred twenty-nine billion, one hundred forty-nine million, one hundred thirty-eight thousand, eight hundred".