1381677696 has 384 divisors, whose sum is σ = 4883760000. Its totient is φ = 383201280.

The previous prime is 1381677691. The next prime is 1381677721. The reversal of 1381677696 is 6967761831.

It is a happy number.

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 (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2286144) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (1381677691) 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 47 ways as a sum of consecutive naturals, for example, 6943005 + ... + 6943203.

It is an arithmetic number, because the mean of its divisors is an integer number (12718125).

Almost surely, 2^1381677696 is an apocalyptic number.

1381677696 is a gapful number since it is divisible by the number (16) 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 1381677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441880000).

1381677696 is an abundant number, since it is smaller than the sum of its proper divisors (3502082304).

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

1381677696 is a wasteful number, since it uses less digits than its factorization.

1381677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 1381677696 is about 37170.9254122089. The cubic root of 1381677696 is about 1113.7872678525.

The spelling of 1381677696 in words is "one billion, three hundred eighty-one million, six hundred seventy-seven thousand, six hundred ninety-six".