3832616034240 has 1120 divisors, whose sum is σ = 14632844374080. Its totient is φ = 849498144768.

The previous prime is 3832616034131. The next prime is 3832616034251. The reversal of 3832616034240 is 424306162383.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3832616034192 and 3832616034201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16736314446 + ... + 16736314674.

Almost surely, 2^{3832616034240} is an apocalyptic number.

3832616034240 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 3832616034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316422187040).

3832616034240 is an abundant number, since it is smaller than the sum of its proper divisors (10800228339840).

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

3832616034240 is a wasteful number, since it uses less digits than its factorization.

3832616034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 3832616034240 in words is "three trillion, eight hundred thirty-two billion, six hundred sixteen million, thirty-four thousand, two hundred forty".