1385977968 has 120 divisors (see below), whose sum is σ = 4052084400. Its totient is φ = 441787392.

The previous prime is 1385977963. The next prime is 1385977973. The reversal of 1385977968 is 8697795831.

1385977968 is a `hidden beast` number, since 1 + 38 + 597 + 7 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1385977963) and next prime (1385977973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385977961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312148 + ... + 316556.

It is an arithmetic number, because the mean of its divisors is an integer number (33767370).

Almost surely, 2^1385977968 is an apocalyptic number.

1385977968 is a gapful number since it is divisible by the number (18) 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 1385977968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026042200).

1385977968 is an abundant number, since it is smaller than the sum of its proper divisors (2666106432).

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

1385977968 is a wasteful number, since it uses less digits than its factorization.

1385977968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4510 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The square root of 1385977968 is about 37228.7250386043. The cubic root of 1385977968 is about 1114.9415717404.

It can be divided in two parts, 1385977 and 968, that added together give a triangular number (1386945 = T₁₆₆₅).

The spelling of 1385977968 in words is "one billion, three hundred eighty-five million, nine hundred seventy-seven thousand, nine hundred sixty-eight".