1377728352 has 672 divisors, whose sum is σ = 5552789760. Its totient is φ = 324725760.

The previous prime is 1377728327. The next prime is 1377728419. The reversal of 1377728352 is 2538277731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1377728298 and 1377728307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23351299 + ... + 23351357.

It is an arithmetic number, because the mean of its divisors is an integer number (8263080).

Almost surely, 2^1377728352 is an apocalyptic number.

1377728352 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 1377728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776394880).

1377728352 is an abundant number, since it is smaller than the sum of its proper divisors (4175061408).

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

1377728352 is a wasteful number, since it uses less digits than its factorization.

1377728352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 1377728352 is about 37117.7632946814. The cubic root of 1377728352 is about 1112.7250503259.

The spelling of 1377728352 in words is "one billion, three hundred seventy-seven million, seven hundred twenty-eight thousand, three hundred fifty-two".