3729595466880 has 1280 divisors, whose sum is σ = 14536466841600. Its totient is φ = 907643584512.

The previous prime is 3729595466809. The next prime is 3729595466887. The reversal of 3729595466880 is 886645959273.

It is a happy number.

3729595466880 is a `hidden beast` number, since 3 + 7 + 29 + 59 + 546 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3729595466799 and 3729595466808.

It is not an unprimeable number, because it can be changed into a prime (3729595466887) 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, 5260359966 + ... + 5260360674.

It is an arithmetic number, because the mean of its divisors is an integer number (11356614720).

Almost surely, 2^{3729595466880} is an apocalyptic number.

3729595466880 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 3729595466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268233420800).

3729595466880 is an abundant number, since it is smaller than the sum of its proper divisors (10806871374720).

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

3729595466880 is a wasteful number, since it uses less digits than its factorization.

3729595466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 3729595466880 in words is "three trillion, seven hundred twenty-nine billion, five hundred ninety-five million, four hundred sixty-six thousand, eight hundred eighty".