1377540736 has 256 divisors, whose sum is σ = 3608841600. Its totient is φ = 513146880.

The previous prime is 1377540727. The next prime is 1377540737. The reversal of 1377540736 is 6370457731.

It is a junction number, because it is equal to n+sod(n) for n = 1377540692 and 1377540701.

It is not an unprimeable number, because it can be changed into a prime (1377540737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5912076 + ... + 5912308.

Almost surely, 2^1377540736 is an apocalyptic number.

1377540736 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 1377540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804420800).

1377540736 is an abundant number, since it is smaller than the sum of its proper divisors (2231300864).

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

1377540736 is a wasteful number, since it uses less digits than its factorization.

1377540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 43.

The square root of 1377540736 is about 37115.2359011768. The cubic root of 1377540736 is about 1112.6745385541.

It can be divided in two parts, 1377540 and 736, that added together give a square (1378276 = 1174²).

The spelling of 1377540736 in words is "one billion, three hundred seventy-seven million, five hundred forty thousand, seven hundred thirty-six".