3305136401556 has 96 divisors (see below), whose sum is σ = 8687243636736. Its totient is φ = 968937984000.

The previous prime is 3305136401549. The next prime is 3305136401563. The reversal of 3305136401556 is 6551046315033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3305136401549) and next prime (3305136401563).

It is a super-2 number, since 2×3305136401556² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12815316 + ... + 13070676.

It is an arithmetic number, because the mean of its divisors is an integer number (90492121216).

Almost surely, 2^{3305136401556} 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 3305136401556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343621818368).

3305136401556 is an abundant number, since it is smaller than the sum of its proper divisors (5382107235180).

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

3305136401556 is a wasteful number, since it uses less digits than its factorization.

3305136401556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258573 (or 258571 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 3305136401556 in words is "three trillion, three hundred five billion, one hundred thirty-six million, four hundred one thousand, five hundred fifty-six".