3612475542528 has 704 divisors, whose sum is σ = 11566617715200. Its totient is φ = 1124187144192.

The previous prime is 3612475542523. The next prime is 3612475542539. The reversal of 3612475542528 is 8252455742163.

3612475542528 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 4 + 75 + 5 + 42 + 528 = 666.

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

Its product of digits (16128000) is a multiple of the sum of its prime divisors (1260).

It is not an unprimeable number, because it can be changed into a prime (3612475542523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3106169275 + ... + 3106170437.

Almost surely, 2^{3612475542528} is an apocalyptic number.

3612475542528 is a gapful number since it is divisible by the number (38) 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 3612475542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783308857600).

3612475542528 is an abundant number, since it is smaller than the sum of its proper divisors (7954142172672).

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

3612475542528 is an equidigital number, since it uses as much as digits as its factorization.

3612475542528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1260 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 3612475542528 in words is "three trillion, six hundred twelve billion, four hundred seventy-five million, five hundred forty-two thousand, five hundred twenty-eight".