384157502720 has 144 divisors (see below), whose sum is σ = 978572644560. Its totient is φ = 143990587392.

The previous prime is 384157502713. The next prime is 384157502741. The reversal of 384157502720 is 27205751483.

It can be written as a sum of positive squares in 8 ways, for example, as 13500580864 + 370656921856 = 116192^2 + 608816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4944494 + ... + 5021586.

It is an arithmetic number, because the mean of its divisors is an integer number (6795643365).

Almost surely, 2^384157502720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384157502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489286322280).

384157502720 is an abundant number, since it is smaller than the sum of its proper divisors (594415141840).

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

384157502720 is a wasteful number, since it uses less digits than its factorization.

384157502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77360 (or 77346 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 384157502720 in words is "three hundred eighty-four billion, one hundred fifty-seven million, five hundred two thousand, seven hundred twenty".