3921628675104 has 1152 divisors, whose sum is σ = 14706713548800. Its totient is φ = 964233953280.

The previous prime is 3921628675099. The next prime is 3921628675117. The reversal of 3921628675104 is 4015768261293.

It is a happy number.

3921628675104 is a `hidden beast` number, since 3 + 9 + 2 + 1 + 62 + 8 + 67 + 510 + 4 = 666.

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, 3348956439 + ... + 3348957609.

It is an arithmetic number, because the mean of its divisors is an integer number (12766244400).

It is a 1-persistent number, because it is pandigital, but 2⋅3921628675104 = 7843257350208 is not.

Almost surely, 2^{3921628675104} is an apocalyptic number.

3921628675104 is a gapful number since it is divisible by the number (34) 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 3921628675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353356774400).

3921628675104 is an abundant number, since it is smaller than the sum of its proper divisors (10785084873696).

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

3921628675104 is a wasteful number, since it uses less digits than its factorization.

3921628675104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3921628675104 in words is "three trillion, nine hundred twenty-one billion, six hundred twenty-eight million, six hundred seventy-five thousand, one hundred four".