1388534400 has 480 divisors, whose sum is σ = 5601293280. Its totient is φ = 335923200.

The previous prime is 1388534363. The next prime is 1388534419. The reversal of 1388534400 is 44358831.

1388534400 is a `hidden beast` number, since 1 + 3 + 88 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2850957 + ... + 2851443.

It is an arithmetic number, because the mean of its divisors is an integer number (11669361).

Almost surely, 2^1388534400 is an apocalyptic number.

1388534400 is a gapful number since it is divisible by the number (10) 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 1388534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800646640).

1388534400 is an abundant number, since it is smaller than the sum of its proper divisors (4212758880).

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

1388534400 is a wasteful number, since it uses less digits than its factorization.

1388534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1388534400 is about 37263.0433539720. The cubic root of 1388534400 is about 1115.6266527763.

Subtracting from 1388534400 its reverse (44358831), we obtain a square (1344175569 = 36663²).

The spelling of 1388534400 in words is "one billion, three hundred eighty-eight million, five hundred thirty-four thousand, four hundred".