3826124789760 has 1152 divisors, whose sum is σ = 16371290557440. Its totient is φ = 804777099264.

The previous prime is 3826124789759. The next prime is 3826124789777. The reversal of 3826124789760 is 679874216283.

3826124789760 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 12 + 478 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 4218439227 + ... + 4218440133.

It is an arithmetic number, because the mean of its divisors is an integer number (14211189720).

Almost surely, 2^{3826124789760} is an apocalyptic number.

3826124789760 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 3826124789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185645278720).

3826124789760 is an abundant number, since it is smaller than the sum of its proper divisors (12545165767680).

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

3826124789760 is a wasteful number, since it uses less digits than its factorization.

3826124789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3826124789760 in words is "three trillion, eight hundred twenty-six billion, one hundred twenty-four million, seven hundred eighty-nine thousand, seven hundred sixty".