3521329812 has 576 divisors, whose sum is σ = 13013145600. Its totient is φ = 772623360.

The previous prime is 3521329811. The next prime is 3521329873. The reversal of 3521329812 is 2189231253.

3521329812 is a `hidden beast` number, since 3 + 521 + 32 + 98 + 12 = 666.

3521329812 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3521329811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25333239 + ... + 25333377.

Almost surely, 2^3521329812 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 3521329812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506572800).

3521329812 is an abundant number, since it is smaller than the sum of its proper divisors (9491815788).

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

3521329812 is a wasteful number, since it uses less digits than its factorization.

3521329812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3521329812 is about 59340.7938268439. The cubic root of 3521329812 is about 1521.3725212402.

It can be divided in two parts, 35213 and 29812, that added together give a square (65025 = 255²).

The spelling of 3521329812 in words is "three billion, five hundred twenty-one million, three hundred twenty-nine thousand, eight hundred twelve".