3557742870528 has 1040 divisors, whose sum is σ = 14031657946944. Its totient is φ = 869730877440.

The previous prime is 3557742870527. The next prime is 3557742870547. The reversal of 3557742870528 is 8250782477553.

It is a happy number.

3557742870528 is a `hidden beast` number, since 3 + 5 + 577 + 4 + 2 + 8 + 7 + 0 + 52 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3557742870527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209278992376 + ... + 209278992392.

Almost surely, 2^{3557742870528} 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 3557742870528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015828973472).

3557742870528 is an abundant number, since it is smaller than the sum of its proper divisors (10473915076416).

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

3557742870528 is an frugal number, since it uses more digits than its factorization.

3557742870528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 131712000, while the sum is 63.

The spelling of 3557742870528 in words is "three trillion, five hundred fifty-seven billion, seven hundred forty-two million, eight hundred seventy thousand, five hundred twenty-eight".