3977880399360 has 2400 divisors, whose sum is σ = 17442874513152. Its totient is φ = 862829936640.

The previous prime is 3977880399341. The next prime is 3977880399379. The reversal of 3977880399360 is 639930887793.

3977880399360 is a `hidden beast` number, since 3 + 97 + 78 + 80 + 39 + 9 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (3977880399341) and next prime (3977880399379).

It is a super-2 number, since 2×3977880399360² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 22993528234 + ... + 22993528406.

Almost surely, 2^{3977880399360} is an apocalyptic number.

3977880399360 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 3977880399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721437256576).

3977880399360 is an abundant number, since it is smaller than the sum of its proper divisors (13464994113792).

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

3977880399360 is a wasteful number, since it uses less digits than its factorization.

3977880399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 3977880399360 in words is "three trillion, nine hundred seventy-seven billion, eight hundred eighty million, three hundred ninety-nine thousand, three hundred sixty".