3723608351232 has 1600 divisors, whose sum is σ = 14438049120000. Its totient is φ = 946809077760.

The previous prime is 3723608351173. The next prime is 3723608351251. The reversal of 3723608351232 is 2321538063273.

3723608351232 is a `hidden beast` number, since 3 + 7 + 2 + 3 + 60 + 8 + 351 + 232 = 666.

It is a congruent number.

It is an unprimeable number.

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, 8293114144 + ... + 8293114592.

It is an arithmetic number, because the mean of its divisors is an integer number (9023780700).

Almost surely, 2^{3723608351232} is an apocalyptic number.

3723608351232 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 3723608351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219024560000).

3723608351232 is an abundant number, since it is smaller than the sum of its proper divisors (10714440768768).

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

3723608351232 is an equidigital number, since it uses as much as digits as its factorization.

3723608351232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3723608351232 in words is "three trillion, seven hundred twenty-three billion, six hundred eight million, three hundred fifty-one thousand, two hundred thirty-two".