388533376 has 128 divisors (see below), whose sum is σ = 979200000. Its totient is φ = 149160960.

The previous prime is 388533373. The next prime is 388533377. The reversal of 388533376 is 673335883.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (388533373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778375 + ... + 778873.

It is an arithmetic number, because the mean of its divisors is an integer number (7650000).

Almost surely, 2^388533376 is an apocalyptic number.

388533376 is the 9856-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600000).

388533376 is an abundant number, since it is smaller than the sum of its proper divisors (590666624).

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

388533376 is a wasteful number, since it uses less digits than its factorization.

388533376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The square root of 388533376 is about 19711.2499857315. The cubic root of 388533376 is about 729.6973637634.

The spelling of 388533376 in words is "three hundred eighty-eight million, five hundred thirty-three thousand, three hundred seventy-six".