1387746720 has 288 divisors, whose sum is σ = 5082098112. Its totient is φ = 343597056.

The previous prime is 1387746683. The next prime is 1387746727. The reversal of 1387746720 is 276477831.

It is a tau number, because it is divible by the number of its divisors (288).

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 (1387746727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2031499 + ... + 2032181.

It is an arithmetic number, because the mean of its divisors is an integer number (17646174).

Almost surely, 2^1387746720 is an apocalyptic number.

1387746720 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 1387746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541049056).

1387746720 is an abundant number, since it is smaller than the sum of its proper divisors (3694351392).

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

1387746720 is a wasteful number, since it uses less digits than its factorization.

1387746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1387746720 is about 37252.4726696095. The cubic root of 1387746720 is about 1115.4156573988.

The spelling of 1387746720 in words is "one billion, three hundred eighty-seven million, seven hundred forty-six thousand, seven hundred twenty".