3361826560 has 144 divisors (see below), whose sum is σ = 8546781600. Its totient is φ = 1263403008.

The previous prime is 3361826543. The next prime is 3361826561. The reversal of 3361826560 is 656281633.

It is a super-2 number, since 2×3361826560² = 22603755639042867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361826561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331336 + ... + 3332344.

It is an arithmetic number, because the mean of its divisors is an integer number (59352650).

Almost surely, 2^3361826560 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 3361826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273390800).

3361826560 is an abundant number, since it is smaller than the sum of its proper divisors (5184955040).

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

3361826560 is a wasteful number, since it uses less digits than its factorization.

3361826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 3361826560 is about 57981.2604209326. The cubic root of 3361826560 is about 1498.0458345230.

It can be divided in two parts, 3361 and 826560, that added together give a square (829921 = 911²).

The spelling of 3361826560 in words is "three billion, three hundred sixty-one million, eight hundred twenty-six thousand, five hundred sixty".