3758480651520 has 864 divisors, whose sum is σ = 15682751884800. Its totient is φ = 812461326336.

The previous prime is 3758480651501. The next prime is 3758480651521. The reversal of 3758480651520 is 251560848573.

3758480651520 is a `hidden beast` number, since 3 + 7 + 5 + 8 + 480 + 6 + 5 + 152 + 0 = 666.

3758480651520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3758480651521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165058696 + ... + 165081464.

It is an arithmetic number, because the mean of its divisors is an integer number (18151333200).

Almost surely, 2^{3758480651520} is an apocalyptic number.

3758480651520 is a gapful number since it is divisible by the number (30) 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 3758480651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841375942400).

3758480651520 is an abundant number, since it is smaller than the sum of its proper divisors (11924271233280).

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

3758480651520 is a wasteful number, since it uses less digits than its factorization.

3758480651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22915 (or 22898 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

It can be divided in two parts, 3758480 and 651520, that added together give a square (4410000 = 2100²).

The spelling of 3758480651520 in words is "three trillion, seven hundred fifty-eight billion, four hundred eighty million, six hundred fifty-one thousand, five hundred twenty".