388337664 has 312 divisors, whose sum is σ = 1295095392. Its totient is φ = 102236160.

The previous prime is 388337659. The next prime is 388337669. The reversal of 388337664 is 466733883.

It is an interprime number because it is at equal distance from previous prime (388337659) and next prime (388337669).

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×388337664² = 301612282561953792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1741824) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388337669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22843384 + ... + 22843400.

Almost surely, 2^388337664 is an apocalyptic number.

388337664 is a gapful number since it is divisible by the number (34) 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 388337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647547696).

388337664 is an abundant number, since it is smaller than the sum of its proper divisors (906757728).

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

388337664 is a wasteful number, since it uses less digits than its factorization.

388337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 388337664 is about 19706.2848857921. The cubic root of 388337664 is about 729.5748221536.

The spelling of 388337664 in words is "three hundred eighty-eight million, three hundred thirty-seven thousand, six hundred sixty-four".