3512472812352 has 336 divisors, whose sum is σ = 11890780741632. Its totient is φ = 970088555520.

The previous prime is 3512472812327. The next prime is 3512472812357. The reversal of 3512472812352 is 2532182742153.

3512472812352 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 472 + 8 + 123 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 3512472812298 and 3512472812307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3512472812357) 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, 113352253 + ... + 113383235.

Almost surely, 2^{3512472812352} is an apocalyptic number.

3512472812352 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 3512472812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945390370816).

3512472812352 is an abundant number, since it is smaller than the sum of its proper divisors (8378307929280).

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

3512472812352 is a wasteful number, since it uses less digits than its factorization.

3512472812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31946 (or 31933 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 3512472812352 in words is "three trillion, five hundred twelve billion, four hundred seventy-two million, eight hundred twelve thousand, three hundred fifty-two".