3380420542464 has 1197 divisors, whose sum is σ = 12444833271447. Its totient is φ = 915001049088.

The previous prime is 3380420542453. The next prime is 3380420542501. The reversal of 3380420542464 is 4642450240833.

The square root of 3380420542464 is 1838592.

It is a perfect power (a square), and thus also a powerful number.

3380420542464 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 42 + 0 + 542 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1197).

It is a super-2 number, since 2×3380420542464² (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 62 ways as a sum of consecutive naturals, for example, 177916870647 + ... + 177916870665.

Almost surely, 2^{3380420542464} is an apocalyptic number.

3380420542464 is the 1838592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380420542464

3380420542464 is an abundant number, since it is smaller than the sum of its proper divisors (9064412728983).

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

3380420542464 is an frugal number, since it uses more digits than its factorization.

3380420542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 3380420542464 in words is "three trillion, three hundred eighty billion, four hundred twenty million, five hundred forty-two thousand, four hundred sixty-four".