3253890134880 has 2880 divisors, whose sum is σ = 15490345651200. Its totient is φ = 632438876160.

The previous prime is 3253890134851. The next prime is 3253890134947. The reversal of 3253890134880 is 884310983523.

3253890134880 is a `hidden beast` number, since 3 + 2 + 538 + 90 + 13 + 4 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3253890134880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 41188482681 + ... + 41188482759.

It is an arithmetic number, because the mean of its divisors is an integer number (5378592240).

Almost surely, 2^{3253890134880} is an apocalyptic number.

3253890134880 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 3253890134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745172825600).

3253890134880 is an abundant number, since it is smaller than the sum of its proper divisors (12236455516320).

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

3253890134880 is a wasteful number, since it uses less digits than its factorization.

3253890134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3253890134880 in words is "three trillion, two hundred fifty-three billion, eight hundred ninety million, one hundred thirty-four thousand, eight hundred eighty".