3561618900 has 216 divisors, whose sum is σ = 12155263680. Its totient is φ = 802690560.

The previous prime is 3561618887. The next prime is 3561618917. The reversal of 3561618900 is 98161653.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1071441 + ... + 1074759.

Almost surely, 2^3561618900 is an apocalyptic number.

3561618900 is a gapful number since it is divisible by the number (30) 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 3561618900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077631840).

3561618900 is an abundant number, since it is smaller than the sum of its proper divisors (8593644780).

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

3561618900 is a wasteful number, since it uses less digits than its factorization.

3561618900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 3561618900 is about 59679.3004315567. The cubic root of 3561618900 is about 1527.1527636203.

The spelling of 3561618900 in words is "three billion, five hundred sixty-one million, six hundred eighteen thousand, nine hundred".