3799756987488 has 576 divisors, whose sum is σ = 13956295901184. Its totient is φ = 951689088000.

The previous prime is 3799756987471. The next prime is 3799756987531. The reversal of 3799756987488 is 8847896579973.

3799756987488 is a `hidden beast` number, since 3 + 79 + 9 + 7 + 56 + 9 + 8 + 7 + 488 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3799756987398 and 3799756987407.

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, 194540283 + ... + 194559813.

It is an arithmetic number, because the mean of its divisors is an integer number (24229680384).

Almost surely, 2^{3799756987488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3799756987488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978147950592).

3799756987488 is an abundant number, since it is smaller than the sum of its proper divisors (10156538913696).

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

3799756987488 is a wasteful number, since it uses less digits than its factorization.

3799756987488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19879 (or 19868 counting only the distinct ones).

The product of its digits is 46088663040, while the sum is 90.

The spelling of 3799756987488 in words is "three trillion, seven hundred ninety-nine billion, seven hundred fifty-six million, nine hundred eighty-seven thousand, four hundred eighty-eight".