384287407380 has 672 divisors, whose sum is σ = 1334902410240. Its totient is φ = 92513249280.

The previous prime is 384287407369. The next prime is 384287407447. The reversal of 384287407380 is 83704782483.

384287407380 is a `hidden beast` number, since 3 + 8 + 428 + 74 + 0 + 73 + 80 = 666.

It is a super-2 number, since 2×384287407380² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 223 ways as a sum of consecutive naturals, for example, 626895954 + ... + 626896566.

It is an arithmetic number, because the mean of its divisors is an integer number (1986461920).

Almost surely, 2^384287407380 is an apocalyptic number.

384287407380 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 384287407380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667451205120).

384287407380 is an abundant number, since it is smaller than the sum of its proper divisors (950615002860).

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

384287407380 is a wasteful number, since it uses less digits than its factorization.

384287407380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 384287407380 in words is "three hundred eighty-four billion, two hundred eighty-seven million, four hundred seven thousand, three hundred eighty".