3575490944256 has 1296 divisors, whose sum is σ = 13840637764800. Its totient is φ = 906654228480.

The previous prime is 3575490944243. The next prime is 3575490944261. The reversal of 3575490944256 is 6524490945753.

It is a happy number.

3575490944256 is a `hidden beast` number, since 3 + 5 + 7 + 5 + 490 + 94 + 4 + 2 + 56 = 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 junction number, because it is equal to n+sod(n) for n = 3575490944193 and 3575490944202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1762192650 + ... + 1762194678.

Almost surely, 2^{3575490944256} is an apocalyptic number.

3575490944256 is a gapful number since it is divisible by the number (36) 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 3575490944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920318882400).

3575490944256 is an abundant number, since it is smaller than the sum of its proper divisors (10265146820544).

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

3575490944256 is a wasteful number, since it uses less digits than its factorization.

3575490944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 3575490944256 in words is "three trillion, five hundred seventy-five billion, four hundred ninety million, nine hundred forty-four thousand, two hundred fifty-six".