3532453752960 has 1536 divisors, whose sum is σ = 14165906227200. Its totient is φ = 833985331200.

The previous prime is 3532453752941. The next prime is 3532453752967. The reversal of 3532453752960 is 692573542353.

3532453752960 is a `hidden beast` number, since 3 + 5 + 3 + 2 + 4 + 53 + 7 + 529 + 60 = 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 = 3532453752897 and 3532453752906.

It is not an unprimeable number, because it can be changed into a prime (3532453752967) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 15425562126 + ... + 15425562354.

It is an arithmetic number, because the mean of its divisors is an integer number (9222595200).

Almost surely, 2^{3532453752960} is an apocalyptic number.

3532453752960 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 3532453752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082953113600).

3532453752960 is an abundant number, since it is smaller than the sum of its proper divisors (10633452474240).

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

3532453752960 is a wasteful number, since it uses less digits than its factorization.

3532453752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 3532453752960 in words is "three trillion, five hundred thirty-two billion, four hundred fifty-three million, seven hundred fifty-two thousand, nine hundred sixty".