384715253340 has 144 divisors (see below), whose sum is σ = 1347943615200. Its totient is φ = 87778160640.

The previous prime is 384715253309. The next prime is 384715253359. The reversal of 384715253340 is 43352517483.

384715253340 is a `hidden beast` number, since 3 + 8 + 4 + 71 + 5 + 2 + 533 + 40 = 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 47 ways as a sum of consecutive naturals, for example, 5681065 + ... + 5748384.

It is an arithmetic number, because the mean of its divisors is an integer number (9360719550).

Almost surely, 2^384715253340 is an apocalyptic number.

384715253340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384715253340 is an abundant number, since it is smaller than the sum of its proper divisors (963228361860).

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

384715253340 is a wasteful number, since it uses less digits than its factorization.

384715253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429492 (or 11429487 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 384715253340 in words is "three hundred eighty-four billion, seven hundred fifteen million, two hundred fifty-three thousand, three hundred forty".