3975626350080 has 480 divisors, whose sum is σ = 17166194293248. Its totient is φ = 826103808000.

The previous prime is 3975626350001. The next prime is 3975626350097. The reversal of 3975626350080 is 800536265793.

It is a happy number.

3975626350080 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 626 + 3 + 5 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-5 number, since 5×3975626350080⁵ (a number of 64 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3975626349999 and 3975626350026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653605 + ... + 2894555.

Almost surely, 2^{3975626350080} is an apocalyptic number.

3975626350080 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 3975626350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583097146624).

3975626350080 is an abundant number, since it is smaller than the sum of its proper divisors (13190567943168).

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

3975626350080 is a wasteful number, since it uses less digits than its factorization.

3975626350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240998 (or 2240979 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3975626350080 in words is "three trillion, nine hundred seventy-five billion, six hundred twenty-six million, three hundred fifty thousand, eighty".