388749312000 has 1440 divisors, whose sum is σ = 1684146207744. Its totient is φ = 84344832000.

The previous prime is 388749311999. The next prime is 388749312053. The reversal of 388749312000 is 213947883.

388749312000 is a `hidden beast` number, since 38 + 8 + 7 + 493 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×388749312000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2967551935 + ... + 2967552065.

Almost surely, 2^388749312000 is an apocalyptic number.

388749312000 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 388749312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842073103872).

388749312000 is an abundant number, since it is smaller than the sum of its proper divisors (1295396895744).

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

388749312000 is a wasteful number, since it uses less digits than its factorization.

388749312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 388749312000 in words is "three hundred eighty-eight billion, seven hundred forty-nine million, three hundred twelve thousand".