1379349216 has 288 divisors, whose sum is σ = 4835496960. Its totient is φ = 381024000.

The previous prime is 1379349199. The next prime is 1379349229. The reversal of 1379349216 is 6129439731.

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

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

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, 1311891 + ... + 1312941.

It is an arithmetic number, because the mean of its divisors is an integer number (16789920).

Almost surely, 2^1379349216 is an apocalyptic number.

1379349216 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 1379349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417748480).

1379349216 is an abundant number, since it is smaller than the sum of its proper divisors (3456147744).

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

1379349216 is a wasteful number, since it uses less digits than its factorization.

1379349216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1094 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1379349216 is about 37139.5909508977. The cubic root of 1379349216 is about 1113.1612439939.

The spelling of 1379349216 in words is "one billion, three hundred seventy-nine million, three hundred forty-nine thousand, two hundred sixteen".