3752612248320 has 432 divisors, whose sum is σ = 14804893145952. Its totient is φ = 869382881280.

The previous prime is 3752612248313. The next prime is 3752612248321. The reversal of 3752612248320 is 238422162573.

3752612248320 is a `hidden beast` number, since 3 + 7 + 5 + 2 + 612 + 2 + 4 + 8 + 3 + 20 = 666.

3752612248320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3752612248321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1808935 + ... + 3282905.

It is an arithmetic number, because the mean of its divisors is an integer number (34270585986).

Almost surely, 2^{3752612248320} is an apocalyptic number.

3752612248320 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 3752612248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402446572976).

3752612248320 is an abundant number, since it is smaller than the sum of its proper divisors (11052280897632).

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

3752612248320 is a wasteful number, since it uses less digits than its factorization.

3752612248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474028 (or 1474011 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3752612248320 in words is "three trillion, seven hundred fifty-two billion, six hundred twelve million, two hundred forty-eight thousand, three hundred twenty".