3561906096 has 320 divisors, whose sum is σ = 12470630400. Its totient is φ = 950206464.

The previous prime is 3561906077. The next prime is 3561906133. The reversal of 3561906096 is 6906091653.

3561906096 is a `hidden beast` number, since 35 + 6 + 1 + 9 + 0 + 609 + 6 = 666.

It is a super-2 number, since 2×3561906096² = 25374350073443922432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9921565 + ... + 9921923.

It is an arithmetic number, because the mean of its divisors is an integer number (38970720).

Almost surely, 2^3561906096 is an apocalyptic number.

3561906096 is a gapful number since it is divisible by the number (36) 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 3561906096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235315200).

3561906096 is an abundant number, since it is smaller than the sum of its proper divisors (8908724304).

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

3561906096 is a wasteful number, since it uses less digits than its factorization.

3561906096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3561906096 is about 59681.7065439654. The cubic root of 3561906096 is about 1527.1938105327.

The spelling of 3561906096 in words is "three billion, five hundred sixty-one million, nine hundred six thousand, ninety-six".