3795543947520 has 576 divisors, whose sum is σ = 14615931052800. Its totient is φ = 927141396480.

The previous prime is 3795543947519. The next prime is 3795543947521. The reversal of 3795543947520 is 257493455973.

3795543947520 is a `hidden beast` number, since 3 + 7 + 9 + 554 + 3 + 9 + 4 + 75 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3795543947519) and next prime (3795543947521).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (3795543947521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58823436 + ... + 58887924.

It is an arithmetic number, because the mean of its divisors is an integer number (25374880300).

Almost surely, 2^{3795543947520} is an apocalyptic number.

3795543947520 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 3795543947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307965526400).

3795543947520 is an abundant number, since it is smaller than the sum of its proper divisors (10820387105280).

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

3795543947520 is a wasteful number, since it uses less digits than its factorization.

3795543947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64663 (or 64643 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 3795543947520 in words is "three trillion, seven hundred ninety-five billion, five hundred forty-three million, nine hundred forty-seven thousand, five hundred twenty".