3982767759360 has 336 divisors, whose sum is σ = 14868109993464. Its totient is φ = 980372422656.

The previous prime is 3982767759353. The next prime is 3982767759407. The reversal of 3982767759360 is 639577672893.

3982767759360 is a `hidden beast` number, since 3 + 9 + 8 + 27 + 6 + 7 + 7 + 593 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1047658696704 + 2935109062656 = 1023552^2 + 1713216^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4376784 + ... + 5207856.

Almost surely, 2^{3982767759360} is an apocalyptic number.

3982767759360 is a gapful number since it is divisible by the number (30) 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 3982767759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434054996732).

3982767759360 is an abundant number, since it is smaller than the sum of its proper divisors (10885342234104).

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

3982767759360 is a wasteful number, since it uses less digits than its factorization.

3982767759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831123 (or 831096 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 3982767759360 in words is "three trillion, nine hundred eighty-two billion, seven hundred sixty-seven million, seven hundred fifty-nine thousand, three hundred sixty".