3729607680 has 88 divisors (see below), whose sum is σ = 11928966192. Its totient is φ = 994557952.

The previous prime is 3729607643. The next prime is 3729607751. The reversal of 3729607680 is 867069273.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106047 + ... + 136766.

It is an arithmetic number, because the mean of its divisors is an integer number (135556434).

Almost surely, 2^3729607680 is an apocalyptic number.

3729607680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3729607680 is an abundant number, since it is smaller than the sum of its proper divisors (8199358512).

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

3729607680 is a wasteful number, since it uses less digits than its factorization.

3729607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242841 (or 242823 counting only the distinct ones).

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

The square root of 3729607680 is about 61070.5139981644. The cubic root of 3729607680 is about 1550.7949692416.

The spelling of 3729607680 in words is "three billion, seven hundred twenty-nine million, six hundred seven thousand, six hundred eighty".