388033920 has 384 divisors, whose sum is σ = 1460721600. Its totient is φ = 94617600.

The previous prime is 388033901. The next prime is 388033931. The reversal of 388033920 is 29330883.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841870 + ... + 3841970.

Almost surely, 2^388033920 is an apocalyptic number.

388033920 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 388033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730360800).

388033920 is an abundant number, since it is smaller than the sum of its proper divisors (1072687680).

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

388033920 is a wasteful number, since it uses less digits than its factorization.

388033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 388033920 is about 19698.5765983230. The cubic root of 388033920 is about 729.3845566558.

The spelling of 388033920 in words is "three hundred eighty-eight million, thirty-three thousand, nine hundred twenty".