3363420510464 has 288 divisors, whose sum is σ = 8254076221440. Its totient is φ = 1336786108416.

The previous prime is 3363420510431. The next prime is 3363420510481. The reversal of 3363420510464 is 4640150243633.

It is a super-2 number, since 2×3363420510464² (a number of 26 digits) contains 22 as substring.

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, 177507839 + ... + 177526785.

It is an arithmetic number, because the mean of its divisors is an integer number (28659986880).

Almost surely, 2^{3363420510464} 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 3363420510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127038110720).

3363420510464 is an abundant number, since it is smaller than the sum of its proper divisors (4890655710976).

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

3363420510464 is a wasteful number, since it uses less digits than its factorization.

3363420510464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19125 (or 19111 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 3363420510464 in words is "three trillion, three hundred sixty-three billion, four hundred twenty million, five hundred ten thousand, four hundred sixty-four".