3965826683520 has 2304 divisors, whose sum is σ = 16723780300800. Its totient is φ = 886908911616.

The previous prime is 3965826683473. The next prime is 3965826683573. The reversal of 3965826683520 is 253866285693.

3965826683520 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 8 + 26 + 6 + 83 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31226981697 + ... + 31226981823.

It is an arithmetic number, because the mean of its divisors is an integer number (7258585200).

Almost surely, 2^{3965826683520} is an apocalyptic number.

3965826683520 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 3965826683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361890150400).

3965826683520 is an abundant number, since it is smaller than the sum of its proper divisors (12757953617280).

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

3965826683520 is a wasteful number, since it uses less digits than its factorization.

3965826683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 3965826683520 in words is "three trillion, nine hundred sixty-five billion, eight hundred twenty-six million, six hundred eighty-three thousand, five hundred twenty".