3866909699520 has 2352 divisors, whose sum is σ = 16971916808448. Its totient is φ = 835239444480.

The previous prime is 3866909699519. The next prime is 3866909699563. The reversal of 3866909699520 is 259969096683.

3866909699520 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 9 + 0 + 9 + 6 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 17340402129 + ... + 17340402351.

It is an arithmetic number, because the mean of its divisors is an integer number (7215951024).

Almost surely, 2^{3866909699520} is an apocalyptic number.

3866909699520 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 3866909699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485958404224).

3866909699520 is an abundant number, since it is smaller than the sum of its proper divisors (13105007108928).

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

3866909699520 is a wasteful number, since it uses less digits than its factorization.

3866909699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 3866909699520 in words is "three trillion, eight hundred sixty-six billion, nine hundred nine million, six hundred ninety-nine thousand, five hundred twenty".