3275035042752 has 882 divisors, whose sum is σ = 11310623443224. Its totient is φ = 939616381440.

The previous prime is 3275035042729. The next prime is 3275035042753. The reversal of 3275035042752 is 2572405305723.

It is a happy number.

3275035042752 is a `hidden beast` number, since 3 + 2 + 7 + 503 + 50 + 42 + 7 + 52 = 666.

3275035042752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3275035042752³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3275035042698 and 3275035042707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3275035042753) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2037979933 + ... + 2037981539.

Almost surely, 2^{3275035042752} is an apocalyptic number.

3275035042752 is a gapful number since it is divisible by the number (32) 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 3275035042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655311721612).

3275035042752 is an abundant number, since it is smaller than the sum of its proper divisors (8035588400472).

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

3275035042752 is a wasteful number, since it uses less digits than its factorization.

3275035042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 3275035042752 in words is "three trillion, two hundred seventy-five billion, thirty-five million, forty-two thousand, seven hundred fifty-two".