1376013312 has 176 divisors, whose sum is σ = 4113978720. Its totient is φ = 454311936.

The previous prime is 1376013293. The next prime is 1376013319. The reversal of 1376013312 is 2133106731.

1376013312 is a `hidden beast` number, since 13 + 7 + 601 + 33 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1376013319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4340578 + ... + 4340894.

Almost surely, 2^1376013312 is an apocalyptic number.

1376013312 is a gapful number since it is divisible by the number (12) 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 1376013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056989360).

1376013312 is an abundant number, since it is smaller than the sum of its proper divisors (2737965408).

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

1376013312 is a wasteful number, since it uses less digits than its factorization.

1376013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1376013312 is about 37094.6534152834. The cubic root of 1376013312 is about 1112.2631401142.

It can be divided in two parts, 13760 and 13312, that added together give a palindrome (27072).

The spelling of 1376013312 in words is "one billion, three hundred seventy-six million, thirteen thousand, three hundred twelve".