388152051840 has 960 divisors, whose sum is σ = 1672514775360. Its totient is φ = 84022603776.

The previous prime is 388152051827. The next prime is 388152051893. The reversal of 388152051840 is 48150251883.

388152051840 is a `hidden beast` number, since 3 + 8 + 81 + 52 + 0 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130998199 + ... + 131001161.

It is an arithmetic number, because the mean of its divisors is an integer number (1742202891).

Almost surely, 2^388152051840 is an apocalyptic number.

388152051840 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 388152051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836257387680).

388152051840 is an abundant number, since it is smaller than the sum of its proper divisors (1284362723520).

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

388152051840 is a wasteful number, since it uses less digits than its factorization.

388152051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 388152051840 in words is "three hundred eighty-eight billion, one hundred fifty-two million, fifty-one thousand, eight hundred forty".