1387350720 has 672 divisors, whose sum is σ = 5941771200. Its totient is φ = 303464448.

The previous prime is 1387350707. The next prime is 1387350787. The reversal of 1387350720 is 270537831.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 12277384 + ... + 12277496.

Almost surely, 2^1387350720 is an apocalyptic number.

1387350720 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 1387350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970885600).

1387350720 is an abundant number, since it is smaller than the sum of its proper divisors (4554420480).

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

1387350720 is a wasteful number, since it uses less digits than its factorization.

1387350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1387350720 is about 37247.1572069601. The cubic root of 1387350720 is about 1115.3095509519.

The spelling of 1387350720 in words is "one billion, three hundred eighty-seven million, three hundred fifty thousand, seven hundred twenty".