1377036128 has 96 divisors (see below), whose sum is σ = 3118300416. Its totient is φ = 593607168.

The previous prime is 1377036119. The next prime is 1377036137. The reversal of 1377036128 is 8216307731.

It is an interprime number because it is at equal distance from previous prime (1377036119) and next prime (1377036137).

It is a junction number, because it is equal to n+sod(n) for n = 1377036091 and 1377036100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409751 + ... + 413097.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 2^1377036128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559150208).

1377036128 is an abundant number, since it is smaller than the sum of its proper divisors (1741264288).

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

1377036128 is a wasteful number, since it uses less digits than its factorization.

1377036128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 1377036128 is about 37108.4374233139. The cubic root of 1377036128 is about 1112.5386604080.

The spelling of 1377036128 in words is "one billion, three hundred seventy-seven million, thirty-six thousand, one hundred twenty-eight".