1377681984 has 84 divisors (see below), whose sum is σ = 4513015104. Its totient is φ = 393622272.

The previous prime is 1377681973. The next prime is 1377682003. The reversal of 1377681984 is 4891867731.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1377681984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166812 + ... + 174875.

Almost surely, 2^1377681984 is an apocalyptic number.

1377681984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1377681984 is an abundant number, since it is smaller than the sum of its proper divisors (3135333120).

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

1377681984 is a wasteful number, since it uses less digits than its factorization.

1377681984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341712 (or 341699 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 1377681984 is about 37117.1386828241. The cubic root of 1377681984 is about 1112.7125671166.

The spelling of 1377681984 in words is "one billion, three hundred seventy-seven million, six hundred eighty-one thousand, nine hundred eighty-four".