3561820416 has 432 divisors, whose sum is σ = 13568300928. Its totient is φ = 869990400.

The previous prime is 3561820391. The next prime is 3561820421. The reversal of 3561820416 is 6140281653.

It is a happy number.

3561820416 is a `hidden beast` number, since 3 + 5 + 618 + 20 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3015346 + ... + 3016526.

It is an arithmetic number, because the mean of its divisors is an integer number (31408104).

Almost surely, 2^3561820416 is an apocalyptic number.

3561820416 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 3561820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784150464).

3561820416 is an abundant number, since it is smaller than the sum of its proper divisors (10006480512).

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

3561820416 is a wasteful number, since it uses less digits than its factorization.

3561820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3561820416 is about 59680.9887317561. The cubic root of 3561820416 is about 1527.1815651215.

The spelling of 3561820416 in words is "three billion, five hundred sixty-one million, eight hundred twenty thousand, four hundred sixteen".