3729690635328 has 672 divisors, whose sum is σ = 13116507655680. Its totient is φ = 989040476160.

The previous prime is 3729690635327. The next prime is 3729690635369. The reversal of 3729690635328 is 8235360969273.

3729690635328 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 6 + 90 + 6 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3729690635327) 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 95 ways as a sum of consecutive naturals, for example, 3617546173 + ... + 3617547203.

Almost surely, 2^{3729690635328} 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 3729690635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558253827840).

3729690635328 is an abundant number, since it is smaller than the sum of its proper divisors (9386817020352).

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

3729690635328 is a wasteful number, since it uses less digits than its factorization.

3729690635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 3729690635328 in words is "three trillion, seven hundred twenty-nine billion, six hundred ninety million, six hundred thirty-five thousand, three hundred twenty-eight".