3561921838080 has 528 divisors, whose sum is σ = 13009174380384. Its totient is φ = 934254673920.

The previous prime is 3561921838073. The next prime is 3561921838093. The reversal of 3561921838080 is 808381291653.

3561921838080 is a `hidden beast` number, since 3 + 5 + 619 + 2 + 18 + 3 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75870294 + ... + 75917226.

Almost surely, 2^{3561921838080} is an apocalyptic number.

3561921838080 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 3561921838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504587190192).

3561921838080 is an abundant number, since it is smaller than the sum of its proper divisors (9447252542304).

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

3561921838080 is an equidigital number, since it uses as much as digits as its factorization.

3561921838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47034 (or 47004 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 3561921838080 in words is "three trillion, five hundred sixty-one billion, nine hundred twenty-one million, eight hundred thirty-eight thousand, eighty".