384380751480 has 512 divisors, whose sum is σ = 1408578232320. Its totient is φ = 82796544000.

The previous prime is 384380751431. The next prime is 384380751487. The reversal of 384380751480 is 84157083483.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384380751487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28514502 + ... + 28527978.

It is an arithmetic number, because the mean of its divisors is an integer number (2751129360).

Almost surely, 2^384380751480 is an apocalyptic number.

384380751480 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 384380751480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704289116160).

384380751480 is an abundant number, since it is smaller than the sum of its proper divisors (1024197480840).

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

384380751480 is a wasteful number, since it uses less digits than its factorization.

384380751480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13591 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 384380751480 in words is "three hundred eighty-four billion, three hundred eighty million, seven hundred fifty-one thousand, four hundred eighty".