3832642967040 has 320 divisors, whose sum is σ = 13781959773120. Its totient is φ = 1022036631552.

The previous prime is 3832642967029. The next prime is 3832642967093. The reversal of 3832642967040 is 407692462383.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3832642967040² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5256442 + ... + 5940998.

It is an arithmetic number, because the mean of its divisors is an integer number (43068624291).

Almost surely, 2^{3832642967040} is an apocalyptic number.

3832642967040 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 3832642967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890979886560).

3832642967040 is an abundant number, since it is smaller than the sum of its proper divisors (9949316806080).

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

3832642967040 is an frugal number, since it uses more digits than its factorization.

3832642967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684601 (or 684567 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3832642967040 in words is "three trillion, eight hundred thirty-two billion, six hundred forty-two million, nine hundred sixty-seven thousand, forty".