1387742400 has 252 divisors, whose sum is σ = 5381375064. Its totient is φ = 336384000.

The previous prime is 1387742393. The next prime is 1387742401. The reversal of 1387742400 is 42477831.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1387742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154020 + ... + 162780.

Almost surely, 2^1387742400 is an apocalyptic number.

1387742400 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 1387742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690687532).

1387742400 is an abundant number, since it is smaller than the sum of its proper divisors (3993632664).

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

1387742400 is a wasteful number, since it uses less digits than its factorization.

1387742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1387742400 is about 37252.4146868361. The cubic root of 1387742400 is about 1115.4144999829.

The spelling of 1387742400 in words is "one billion, three hundred eighty-seven million, seven hundred forty-two thousand, four hundred".