3524615805672 has 256 divisors, whose sum is σ = 11024294400000. Its totient is φ = 1035256806144.

The previous prime is 3524615805631. The next prime is 3524615805673. The reversal of 3524615805672 is 2765085164253.

3524615805672 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 6 + 1 + 580 + 56 + 7 + 2 = 666.

3524615805672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3524615805673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32172733 + ... + 32282099.

It is an arithmetic number, because the mean of its divisors is an integer number (43063650000).

Almost surely, 2^{3524615805672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3524615805672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512147200000).

3524615805672 is an abundant number, since it is smaller than the sum of its proper divisors (7499678594328).

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

3524615805672 is a wasteful number, since it uses less digits than its factorization.

3524615805672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109917 (or 109907 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 3524615805672 in words is "three trillion, five hundred twenty-four billion, six hundred fifteen million, eight hundred five thousand, six hundred seventy-two".