1386126720 has 384 divisors, whose sum is σ = 5292967680. Its totient is φ = 331468800.

The previous prime is 1386126719. The next prime is 1386126737. The reversal of 1386126720 is 276216831.

1386126720 is a `hidden beast` number, since 1 + 38 + 612 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8300077 + ... + 8300243.

It is an arithmetic number, because the mean of its divisors is an integer number (13783770).

Almost surely, 2^1386126720 is an apocalyptic number.

1386126720 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 1386126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646483840).

1386126720 is an abundant number, since it is smaller than the sum of its proper divisors (3906840960).

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

1386126720 is a wasteful number, since it uses less digits than its factorization.

1386126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1386126720 is about 37230.7227971738. The cubic root of 1386126720 is about 1114.9814578616.

The spelling of 1386126720 in words is "one billion, three hundred eighty-six million, one hundred twenty-six thousand, seven hundred twenty".