3806124407680 has 384 divisors, whose sum is σ = 11241571327200. Its totient is φ = 1224427438080.

The previous prime is 3806124407651. The next prime is 3806124407681. The reversal of 3806124407680 is 867044216083.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806124407681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176451936 + ... + 176473504.

Almost surely, 2^{3806124407680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806124407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620785663600).

3806124407680 is an abundant number, since it is smaller than the sum of its proper divisors (7435446919520).

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

3806124407680 is a wasteful number, since it uses less digits than its factorization.

3806124407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21950 (or 21931 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 3806124407680 in words is "three trillion, eight hundred six billion, one hundred twenty-four million, four hundred seven thousand, six hundred eighty".