388903680 has 540 divisors, whose sum is σ = 1578916416. Its totient is φ = 91238400.

The previous prime is 388903673. The next prime is 388903687. The reversal of 388903680 is 86309883.

It is an interprime number because it is at equal distance from previous prime (388903673) and next prime (388903687).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (388903687) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545265 + ... + 12545295.

Almost surely, 2^388903680 is an apocalyptic number.

388903680 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 388903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789458208).

388903680 is an abundant number, since it is smaller than the sum of its proper divisors (1190012736).

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

388903680 is a wasteful number, since it uses less digits than its factorization.

388903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 388903680 is about 19720.6409632142. The cubic root of 388903680 is about 729.9291105241.

The spelling of 388903680 in words is "three hundred eighty-eight million, nine hundred three thousand, six hundred eighty".