3895757557020 has 288 divisors, whose sum is σ = 13801458198528. Its totient is φ = 870955739136.

The previous prime is 3895757557019. The next prime is 3895757557079. The reversal of 3895757557020 is 207557575983.

3895757557020 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 7 + 57 + 5 + 570 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 96330724 + ... + 96371156.

It is an arithmetic number, because the mean of its divisors is an integer number (47921729856).

Almost surely, 2^{3895757557020} is an apocalyptic number.

3895757557020 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 3895757557020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900729099264).

3895757557020 is an abundant number, since it is smaller than the sum of its proper divisors (9905700641508).

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

3895757557020 is a wasteful number, since it uses less digits than its factorization.

3895757557020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42129 (or 42124 counting only the distinct ones).

The product of its (nonzero) digits is 92610000, while the sum is 63.

The spelling of 3895757557020 in words is "three trillion, eight hundred ninety-five billion, seven hundred fifty-seven million, five hundred fifty-seven thousand, twenty".