3729649287168 has 840 divisors, whose sum is σ = 13202594979840. Its totient is φ = 1030522798080.

The previous prime is 3729649287149. The next prime is 3729649287181. The reversal of 3729649287168 is 8617829469273.

3729649287168 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 6 + 492 + 8 + 71 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3729649287096 and 3729649287105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2591833393 + ... + 2591834831.

It is an arithmetic number, because the mean of its divisors is an integer number (15717374976).

Almost surely, 2^{3729649287168} 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 3729649287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601297489920).

3729649287168 is an abundant number, since it is smaller than the sum of its proper divisors (9472945692672).

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

3729649287168 is an frugal number, since it uses more digits than its factorization.

3729649287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1482 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 3729649287168 in words is "three trillion, seven hundred twenty-nine billion, six hundred forty-nine million, two hundred eighty-seven thousand, one hundred sixty-eight".