3729438720000 has 2400 divisors, whose sum is σ = 16509283338240. Its totient is φ = 813957120000.

The previous prime is 3729438719987. The next prime is 3729438720001. The reversal of 3729438720000 is 278349273.

3729438720000 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 438 + 7 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729438720001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79349759977 + ... + 79349760023.

Almost surely, 2^{3729438720000} is an apocalyptic number.

3729438720000 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 3729438720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254641669120).

3729438720000 is an abundant number, since it is smaller than the sum of its proper divisors (12779844618240).

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

3729438720000 is an frugal number, since it uses more digits than its factorization.

3729438720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 3729438720000 in words is "three trillion, seven hundred twenty-nine billion, four hundred thirty-eight million, seven hundred twenty thousand".