3561429139632 has 960 divisors, whose sum is σ = 13089382225920. Its totient is φ = 877771800576.

The previous prime is 3561429139627. The next prime is 3561429139691. The reversal of 3561429139632 is 2369319241653.

3561429139632 is a `hidden beast` number, since 3 + 5 + 614 + 2 + 9 + 13 + 9 + 6 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8970854058 + ... + 8970854454.

It is an arithmetic number, because the mean of its divisors is an integer number (13634773152).

Almost surely, 2^{3561429139632} 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 3561429139632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544691112960).

3561429139632 is an abundant number, since it is smaller than the sum of its proper divisors (9527953086288).

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

3561429139632 is a wasteful number, since it uses less digits than its factorization.

3561429139632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 841 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 3561429139632 in words is "three trillion, five hundred sixty-one billion, four hundred twenty-nine million, one hundred thirty-nine thousand, six hundred thirty-two".