3698906314752 has 768 divisors, whose sum is σ = 12265815744000. Its totient is φ = 1091882188800.

The previous prime is 3698906314751. The next prime is 3698906314793. The reversal of 3698906314752 is 2574136098963.

3698906314752 is a `hidden beast` number, since 369 + 89 + 0 + 6 + 3 + 147 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 3698906314752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698906314751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5770524352 + ... + 5770524992.

It is an arithmetic number, because the mean of its divisors is an integer number (15971114250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3698906314752 = 7397812629504, but 3⋅3698906314752 = 11096718944256 is not.

Almost surely, 2^{3698906314752} is an apocalyptic number.

3698906314752 is a gapful number since it is divisible by the number (32) 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 3698906314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132907872000).

3698906314752 is an abundant number, since it is smaller than the sum of its proper divisors (8566909429248).

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

3698906314752 is a wasteful number, since it uses less digits than its factorization.

3698906314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3698906314752 in words is "three trillion, six hundred ninety-eight billion, nine hundred six million, three hundred fourteen thousand, seven hundred fifty-two".