3524334485760 has 1152 divisors, whose sum is σ = 14490373201920. Its totient is φ = 801659289600.

The previous prime is 3524334485671. The next prime is 3524334485783. The reversal of 3524334485760 is 675844334253.

3524334485760 is a `hidden beast` number, since 3 + 5 + 24 + 3 + 3 + 4 + 48 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 3524334485697 and 3524334485706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2862984345 + ... + 2862985575.

It is an arithmetic number, because the mean of its divisors is an integer number (12578448960).

Almost surely, 2^{3524334485760} is an apocalyptic number.

3524334485760 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 3524334485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245186600960).

3524334485760 is an abundant number, since it is smaller than the sum of its proper divisors (10966038716160).

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

3524334485760 is a wasteful number, since it uses less digits than its factorization.

3524334485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 3524334485760 in words is "three trillion, five hundred twenty-four billion, three hundred thirty-four million, four hundred eighty-five thousand, seven hundred sixty".