3729607680000 has 280 divisors, whose sum is σ = 12427339984488. Its totient is φ = 994557952000.

The previous prime is 3729607679999. The next prime is 3729607680017. The reversal of 3729607680000 is 867069273.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15238594 + ... + 15481406.

Almost surely, 2^{3729607680000} is an apocalyptic number.

3729607680000 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 3729607680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213669992244).

3729607680000 is an abundant number, since it is smaller than the sum of its proper divisors (8697732304488).

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

3729607680000 is an frugal number, since it uses more digits than its factorization.

3729607680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242862 (or 242823 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 3729607680000 in words is "three trillion, seven hundred twenty-nine billion, six hundred seven million, six hundred eighty thousand".