3235254168960 has 768 divisors, whose sum is σ = 12616510233600. Its totient is φ = 782936985600.

The previous prime is 3235254168919. The next prime is 3235254168973. The reversal of 3235254168960 is 698614525323.

It is a happy number.

3235254168960 is a `hidden beast` number, since 3 + 2 + 3 + 5 + 2 + 541 + 6 + 8 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3235254168897 and 3235254168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1729156825 + ... + 1729158695.

It is an arithmetic number, because the mean of its divisors is an integer number (16427747700).

Almost surely, 2^{3235254168960} is an apocalyptic number.

3235254168960 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 3235254168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308255116800).

3235254168960 is an abundant number, since it is smaller than the sum of its proper divisors (9381256064640).

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

3235254168960 is a wasteful number, since it uses less digits than its factorization.

3235254168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3235254168960 in words is "three trillion, two hundred thirty-five billion, two hundred fifty-four million, one hundred sixty-eight thousand, nine hundred sixty".