1379641600 has 108 divisors (see below), whose sum is σ = 3462779236. Its totient is φ = 544112640.

The previous prime is 1379641589. The next prime is 1379641603. The reversal of 1379641600 is 61469731.

It can be written as a sum of positive squares in 6 ways, for example, as 5308416 + 1374333184 = 2304^2 + 37072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1379641600.

It is not an unprimeable number, because it can be changed into a prime (1379641603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465724 + ... + 468676.

Almost surely, 2^1379641600 is an apocalyptic number.

1379641600 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 1379641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731389618).

1379641600 is an abundant number, since it is smaller than the sum of its proper divisors (2083137636).

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

1379641600 is an equidigital number, since it uses as much as digits as its factorization.

1379641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 1379641600 is about 37143.5270269262. The cubic root of 1379641600 is about 1113.2398916003.

The spelling of 1379641600 in words is "one billion, three hundred seventy-nine million, six hundred forty-one thousand, six hundred".