1377814340 has 72 divisors (see below), whose sum is σ = 3403837080. Its totient is φ = 467056128.

The previous prime is 1377814303. The next prime is 1377814363. The reversal of 1377814340 is 434187731.

It can be written as a sum of positive squares in 4 ways, for example, as 101324356 + 1276489984 = 10066^2 + 35728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1377814294 and 1377814303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79322 + ... + 95118.

It is an arithmetic number, because the mean of its divisors is an integer number (47275515).

Almost surely, 2^1377814340 is an apocalyptic number.

1377814340 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 1377814340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701918540).

1377814340 is an abundant number, since it is smaller than the sum of its proper divisors (2026022740).

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

1377814340 is a wasteful number, since it uses less digits than its factorization.

1377814340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15909 (or 15900 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 1377814340 is about 37118.9215899385. The cubic root of 1377814340 is about 1112.7481993041.

The spelling of 1377814340 in words is "one billion, three hundred seventy-seven million, eight hundred fourteen thousand, three hundred forty".