3350955847680 has 1248 divisors, whose sum is σ = 14092638303744. Its totient is φ = 747785945088.

The previous prime is 3350955847649. The next prime is 3350955847703. The reversal of 3350955847680 is 867485590533.

3350955847680 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 9 + 558 + 4 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×3350955847680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1497967522 + ... + 1497969758.

It is an arithmetic number, because the mean of its divisors is an integer number (11292178128).

Almost surely, 2^{3350955847680} is an apocalyptic number.

3350955847680 is a gapful number since it is divisible by the number (30) 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 3350955847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046319151872).

3350955847680 is an abundant number, since it is smaller than the sum of its proper divisors (10741682456064).

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

3350955847680 is an equidigital number, since it uses as much as digits as its factorization.

3350955847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3350955847680 in words is "three trillion, three hundred fifty billion, nine hundred fifty-five million, eight hundred forty-seven thousand, six hundred eighty".