3832248626640 has 960 divisors, whose sum is σ = 15818080911360. Its totient is φ = 843771893760.

The previous prime is 3832248626623. The next prime is 3832248626677. The reversal of 3832248626640 is 466268422383.

3832248626640 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 2 + 4 + 8 + 626 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3832248626640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 966029937 + ... + 966033903.

It is an arithmetic number, because the mean of its divisors is an integer number (16477167616).

Almost surely, 2^{3832248626640} is an apocalyptic number.

3832248626640 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 3832248626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909040455680).

3832248626640 is an abundant number, since it is smaller than the sum of its proper divisors (11985832284720).

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

3832248626640 is a wasteful number, since it uses less digits than its factorization.

3832248626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 3832248626640 in words is "three trillion, eight hundred thirty-two billion, two hundred forty-eight million, six hundred twenty-six thousand, six hundred forty".