3809779901424 has 160 divisors (see below), whose sum is σ = 12552268032000. Its totient is φ = 1083755033856.

The previous prime is 3809779901401. The next prime is 3809779901437. The reversal of 3809779901424 is 4241099779083.

3809779901424 is a `hidden beast` number, since 38 + 0 + 97 + 7 + 9 + 90 + 1 + 424 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2058264 + ... + 3443255.

It is an arithmetic number, because the mean of its divisors is an integer number (78451675200).

Almost surely, 2^{3809779901424} is an apocalyptic number.

It is an amenable number.

3809779901424 is an abundant number, since it is smaller than the sum of its proper divisors (8742488130576).

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

3809779901424 is a wasteful number, since it uses less digits than its factorization.

3809779901424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501772 (or 5501760 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 3809779901424 in words is "three trillion, eight hundred nine billion, seven hundred seventy-nine million, nine hundred one thousand, four hundred twenty-four".