388249680 has 320 divisors, whose sum is σ = 1534901760. Its totient is φ = 78962688.

The previous prime is 388249669. The next prime is 388249717. The reversal of 388249680 is 86942883.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633054 + ... + 633666.

It is an arithmetic number, because the mean of its divisors is an integer number (4796568).

Almost surely, 2^388249680 is an apocalyptic number.

388249680 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 388249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767450880).

388249680 is an abundant number, since it is smaller than the sum of its proper divisors (1146652080).

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

388249680 is a wasteful number, since it uses less digits than its factorization.

388249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 388249680 is about 19704.0523750826. The cubic root of 388249680 is about 729.5197191118.

The spelling of 388249680 in words is "three hundred eighty-eight million, two hundred forty-nine thousand, six hundred eighty".