388541820 has 96 divisors (see below), whose sum is σ = 1110896640. Its totient is φ = 101445120.

The previous prime is 388541801. The next prime is 388541821. The reversal of 388541820 is 28145883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388541821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949776 + ... + 950184.

It is an arithmetic number, because the mean of its divisors is an integer number (11571840).

Almost surely, 2^388541820 is an apocalyptic number.

388541820 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 388541820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555448320).

388541820 is an abundant number, since it is smaller than the sum of its proper divisors (722354820).

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

388541820 is a wasteful number, since it uses less digits than its factorization.

388541820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 388541820 is about 19711.4641769707. The cubic root of 388541820 is about 729.7026498986.

The spelling of 388541820 in words is "three hundred eighty-eight million, five hundred forty-one thousand, eight hundred twenty".