3977969307768 has 128 divisors (see below), whose sum is σ = 11633426112000. Its totient is φ = 1255991650560.

The previous prime is 3977969307757. The next prime is 3977969307779. The reversal of 3977969307768 is 8677039697793.

3977969307768 is a `hidden beast` number, since 397 + 79 + 6 + 9 + 30 + 77 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3977969307757) and next prime (3977969307779).

It is a super-2 number, since 2×3977969307768² (a number of 26 digits) contains 22 as substring.

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, 25560108 + ... + 25715268.

It is an arithmetic number, because the mean of its divisors is an integer number (90886141500).

Almost surely, 2^{3977969307768} is an apocalyptic number.

3977969307768 is a gapful number since it is divisible by the number (38) 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 3977969307768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816713056000).

3977969307768 is an abundant number, since it is smaller than the sum of its proper divisors (7655456804232).

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

3977969307768 is a wasteful number, since it uses less digits than its factorization.

3977969307768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161442 (or 161432 counting only the distinct ones).

The product of its (nonzero) digits is 4536852768, while the sum is 81.

The spelling of 3977969307768 in words is "three trillion, nine hundred seventy-seven billion, nine hundred sixty-nine million, three hundred seven thousand, seven hundred sixty-eight".