388358288640 has 864 divisors, whose sum is σ = 1633759061760. Its totient is φ = 87072620544.

The previous prime is 388358288639. The next prime is 388358288641. The reversal of 388358288640 is 46882853883.

388358288640 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 582 + 8 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (388358288639) and next prime (388358288641).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388358288641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 89750157 + ... + 89754483.

It is an arithmetic number, because the mean of its divisors is an integer number (1890924840).

Almost surely, 2^388358288640 is an apocalyptic number.

388358288640 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 388358288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816879530880).

388358288640 is an abundant number, since it is smaller than the sum of its proper divisors (1245400773120).

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

388358288640 is a wasteful number, since it uses less digits than its factorization.

388358288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 388358288640 in words is "three hundred eighty-eight billion, three hundred fifty-eight million, two hundred eighty-eight thousand, six hundred forty".