380752248600 has 288 divisors, whose sum is σ = 1321209901440. Its totient is φ = 98164224000.

The previous prime is 380752248553. The next prime is 380752248691. The reversal of 380752248600 is 6842257083.

380752248600 is a `hidden beast` number, since 3 + 80 + 7 + 522 + 48 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72369970 + ... + 72375230.

It is an arithmetic number, because the mean of its divisors is an integer number (4587534380).

Almost surely, 2^380752248600 is an apocalyptic number.

380752248600 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 380752248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660604950720).

380752248600 is an abundant number, since it is smaller than the sum of its proper divisors (940457652840).

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

380752248600 is a wasteful number, since it uses less digits than its factorization.

380752248600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 380752248600 in words is "three hundred eighty billion, seven hundred fifty-two million, two hundred forty-eight thousand, six hundred".