388776672 has 216 divisors, whose sum is σ = 1224981576. Its totient is φ = 121264128.

The previous prime is 388776671. The next prime is 388776701. The reversal of 388776672 is 276677883.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×388776672² = 302294601382791168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388776671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2247178 + ... + 2247350.

It is an arithmetic number, because the mean of its divisors is an integer number (5671211).

Almost surely, 2^388776672 is an apocalyptic number.

388776672 is a gapful number since it is divisible by the number (32) 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 388776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612490788).

388776672 is an abundant number, since it is smaller than the sum of its proper divisors (836204904).

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

388776672 is a wasteful number, since it uses less digits than its factorization.

388776672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 388776672 is about 19717.4205209505. The cubic root of 388776672 is about 729.8496418921.

The spelling of 388776672 in words is "three hundred eighty-eight million, seven hundred seventy-six thousand, six hundred seventy-two".