3932128344060 has 288 divisors, whose sum is σ = 13734998065152. Its totient is φ = 891951782400.

The previous prime is 3932128344059. The next prime is 3932128344113. The reversal of 3932128344060 is 604438212393.

3932128344060 is a `hidden beast` number, since 3 + 9 + 321 + 283 + 4 + 40 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3932128343997 and 3932128344015.

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, 206803114 + ... + 206822126.

It is an arithmetic number, because the mean of its divisors is an integer number (47690965504).

Almost surely, 2^{3932128344060} is an apocalyptic number.

3932128344060 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 3932128344060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867499032576).

3932128344060 is an abundant number, since it is smaller than the sum of its proper divisors (9802869721092).

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

3932128344060 is a wasteful number, since it uses less digits than its factorization.

3932128344060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20273 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3932128344060 in words is "three trillion, nine hundred thirty-two billion, one hundred twenty-eight million, three hundred forty-four thousand, sixty".