388696320 has 360 divisors, whose sum is σ = 1460200896. Its totient is φ = 98537472.

The previous prime is 388696283. The next prime is 388696333. The reversal of 388696320 is 23696883.

388696320 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2384559 + ... + 2384721.

Almost surely, 2^388696320 is an apocalyptic number.

388696320 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 388696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730100448).

388696320 is an abundant number, since it is smaller than the sum of its proper divisors (1071504576).

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

388696320 is a wasteful number, since it uses less digits than its factorization.

388696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 388696320 is about 19715.3828266154. The cubic root of 388696320 is about 729.7993568798.

The spelling of 388696320 in words is "three hundred eighty-eight million, six hundred ninety-six thousand, three hundred twenty".