3354769820160 has 2560 divisors, whose sum is σ = 14379536793600. Its totient is φ = 741718425600.

The previous prime is 3354769820123. The next prime is 3354769820183. The reversal of 3354769820160 is 610289674533.

3354769820160 is a `hidden beast` number, since 3 + 3 + 5 + 476 + 9 + 8 + 2 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×3354769820160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3354769820097 and 3354769820106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54996226530 + ... + 54996226590.

It is an arithmetic number, because the mean of its divisors is an integer number (5617006560).

It is a 1-persistent number, because it is pandigital, but 2⋅3354769820160 = 6709539640320 is not.

Almost surely, 2^{3354769820160} is an apocalyptic number.

3354769820160 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 3354769820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189768396800).

3354769820160 is an abundant number, since it is smaller than the sum of its proper divisors (11024766973440).

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

3354769820160 is an equidigital number, since it uses as much as digits as its factorization.

3354769820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3354769820160 in words is "three trillion, three hundred fifty-four billion, seven hundred sixty-nine million, eight hundred twenty thousand, one hundred sixty".