3975779858820 has 384 divisors, whose sum is σ = 14902502694912. Its totient is φ = 766587494400.

The previous prime is 3975779858779. The next prime is 3975779858839. The reversal of 3975779858820 is 288589775793.

It is a super-3 number, since 3×3975779858820³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5219854 + ... + 5932826.

It is an arithmetic number, because the mean of its divisors is an integer number (38808600768).

Almost surely, 2^{3975779858820} is an apocalyptic number.

3975779858820 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 3975779858820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451251347456).

3975779858820 is an abundant number, since it is smaller than the sum of its proper divisors (10926722836092).

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

3975779858820 is a wasteful number, since it uses less digits than its factorization.

3975779858820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713091 (or 713089 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 78.

The spelling of 3975779858820 in words is "three trillion, nine hundred seventy-five billion, seven hundred seventy-nine million, eight hundred fifty-eight thousand, eight hundred twenty".