3720129724416 has 360 divisors, whose sum is σ = 11601493456896. Its totient is φ = 1057198571520.

The previous prime is 3720129724397. The next prime is 3720129724417. The reversal of 3720129724416 is 6144279210273.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3720129724417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460009525 + ... + 460017611.

Almost surely, 2^{3720129724416} 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 3720129724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800746728448).

3720129724416 is an abundant number, since it is smaller than the sum of its proper divisors (7881363732480).

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

3720129724416 is an equidigital number, since it uses as much as digits as its factorization.

3720129724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 3720129724416 in words is "three trillion, seven hundred twenty billion, one hundred twenty-nine million, seven hundred twenty-four thousand, four hundred sixteen".