3526230460032 has 384 divisors, whose sum is σ = 11785572864000. Its totient is φ = 991175657472.

The previous prime is 3526230460019. The next prime is 3526230460033. The reversal of 3526230460032 is 2300640326253.

3526230460032 is a `hidden beast` number, since 3 + 5 + 26 + 23 + 0 + 4 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3526230460033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180277069 + ... + 180296627.

It is an arithmetic number, because the mean of its divisors is an integer number (30691596000).

Almost surely, 2^{3526230460032} is an apocalyptic number.

3526230460032 is a gapful number since it is divisible by the number (32) 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 3526230460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892786432000).

3526230460032 is an abundant number, since it is smaller than the sum of its proper divisors (8259342403968).

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

3526230460032 is a wasteful number, since it uses less digits than its factorization.

3526230460032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19948 (or 19933 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 3526230460032 its reverse (2300640326253), we get a palindrome (5826870786285).

The spelling of 3526230460032 in words is "three trillion, five hundred twenty-six billion, two hundred thirty million, four hundred sixty thousand, thirty-two".