3306780407556 has 240 divisors, whose sum is σ = 8895126240000. Its totient is φ = 1071180645696.

The previous prime is 3306780407507. The next prime is 3306780407563. The reversal of 3306780407556 is 6557040876033.

3306780407556 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 7 + 80 + 4 + 0 + 7 + 556 = 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 79 ways as a sum of consecutive naturals, for example, 6626814195 + ... + 6626814693.

It is an arithmetic number, because the mean of its divisors is an integer number (37063026000).

Almost surely, 2^{3306780407556} is an apocalyptic number.

3306780407556 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 3306780407556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447563120000).

3306780407556 is an abundant number, since it is smaller than the sum of its proper divisors (5588345832444).

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

3306780407556 is an equidigital number, since it uses as much as digits as its factorization.

3306780407556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 3306780407556 in words is "three trillion, three hundred six billion, seven hundred eighty million, four hundred seven thousand, five hundred fifty-six".