388001880 has 256 divisors, whose sum is σ = 1565568000. Its totient is φ = 83441664.

The previous prime is 388001849. The next prime is 388001893. The reversal of 388001880 is 88100883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127011 + ... + 130029.

It is an arithmetic number, because the mean of its divisors is an integer number (6115500).

Almost surely, 2^388001880 is an apocalyptic number.

388001880 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 388001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782784000).

388001880 is an abundant number, since it is smaller than the sum of its proper divisors (1177566120).

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

388001880 is a wasteful number, since it uses less digits than its factorization.

388001880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 388001880 is about 19697.7633248042. The cubic root of 388001880 is about 729.3644809844.

The spelling of 388001880 in words is "three hundred eighty-eight million, one thousand, eight hundred eighty".