3575476961280 has 960 divisors, whose sum is σ = 14713001640960. Its totient is φ = 816965222400.

The previous prime is 3575476961267. The next prime is 3575476961317. The reversal of 3575476961280 is 821696745753.

3575476961280 is a `hidden beast` number, since 3 + 5 + 7 + 5 + 4 + 7 + 6 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254111855 + ... + 1254114705.

It is an arithmetic number, because the mean of its divisors is an integer number (15326043376).

It is a 1-persistent number, because it is pandigital, but 2⋅3575476961280 = 7150953922560 is not.

Almost surely, 2^{3575476961280} is an apocalyptic number.

3575476961280 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 3575476961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356500820480).

3575476961280 is an abundant number, since it is smaller than the sum of its proper divisors (11137524679680).

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

3575476961280 is an frugal number, since it uses more digits than its factorization.

3575476961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3575476961280 in words is "three trillion, five hundred seventy-five billion, four hundred seventy-six million, nine hundred sixty-one thousand, two hundred eighty".