3575727783936 has 912 divisors, whose sum is σ = 13374099997440. Its totient is φ = 928760463360.

The previous prime is 3575727783899. The next prime is 3575727783949. The reversal of 3575727783936 is 6393877275753.

3575727783936 is a `hidden beast` number, since 35 + 75 + 72 + 7 + 78 + 393 + 6 = 666.

It is a super-3 number, since 3×3575727783936³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325066162171 + ... + 325066162181.

Almost surely, 2^{3575727783936} is an apocalyptic number.

3575727783936 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 3575727783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687049998720).

3575727783936 is an abundant number, since it is smaller than the sum of its proper divisors (9798372213504).

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

3575727783936 is an frugal number, since it uses more digits than its factorization.

3575727783936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 23 counting only the distinct ones).

The product of its digits is 1400263200, while the sum is 72.

The spelling of 3575727783936 in words is "three trillion, five hundred seventy-five billion, seven hundred twenty-seven million, seven hundred eighty-three thousand, nine hundred thirty-six".