1377534816 has 192 divisors, whose sum is σ = 4615833600. Its totient is φ = 391523328.

The previous prime is 1377534793. The next prime is 1377534833. The reversal of 1377534816 is 6184357731.

1377534816 is a `hidden beast` number, since 1 + 37 + 7 + 534 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444996 + ... + 1445948.

It is an arithmetic number, because the mean of its divisors is an integer number (24040800).

Almost surely, 2^1377534816 is an apocalyptic number.

1377534816 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 1377534816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307916800).

1377534816 is an abundant number, since it is smaller than the sum of its proper divisors (3238298784).

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

1377534816 is a wasteful number, since it uses less digits than its factorization.

1377534816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1204 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 1377534816 is about 37115.1561494762. The cubic root of 1377534816 is about 1112.6729446405.

The spelling of 1377534816 in words is "one billion, three hundred seventy-seven million, five hundred thirty-four thousand, eight hundred sixteen".