3768290624352 has 24 divisors (see below), whose sum is σ = 9891762889176. Its totient is φ = 1256096874752.

The previous prime is 3768290624321. The next prime is 3768290624401. The reversal of 3768290624352 is 2534260928673.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3768290624292 and 3768290624301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19626513573 + ... + 19626513764.

It is an arithmetic number, because the mean of its divisors is an integer number (412156787049).

Almost surely, 2^{3768290624352} is an apocalyptic number.

3768290624352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3768290624352 is an abundant number, since it is smaller than the sum of its proper divisors (6123472264824).

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

3768290624352 is a wasteful number, since it uses less digits than its factorization.

3768290624352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39253027350 (or 39253027342 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 3768290624352 in words is "three trillion, seven hundred sixty-eight billion, two hundred ninety million, six hundred twenty-four thousand, three hundred fifty-two".