3975330627840 has 2304 divisors, whose sum is σ = 16415302385664. Its totient is φ = 805817548800.

The previous prime is 3975330627791. The next prime is 3975330627857. The reversal of 3975330627840 is 487260335793.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21963152550 + ... + 21963152730.

It is an arithmetic number, because the mean of its divisors is an integer number (7124697216).

Almost surely, 2^{3975330627840} is an apocalyptic number.

3975330627840 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 3975330627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207651192832).

3975330627840 is an abundant number, since it is smaller than the sum of its proper divisors (12439971757824).

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

3975330627840 is a wasteful number, since it uses less digits than its factorization.

3975330627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 3975330627840 in words is "three trillion, nine hundred seventy-five billion, three hundred thirty million, six hundred twenty-seven thousand, eight hundred forty".