3473757923328 has 2016 divisors, whose sum is σ = 13601095784640. Its totient is φ = 867129753600.

The previous prime is 3473757923327. The next prime is 3473757923329. The reversal of 3473757923328 is 8233297573743.

3473757923328 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 7 + 579 + 2 + 33 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (3473757923327) and next prime (3473757923329).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (3473757923327) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 51847133151 + ... + 51847133217.

It is an arithmetic number, because the mean of its divisors is an integer number (6746575290).

Almost surely, 2^{3473757923328} 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 3473757923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800547892320).

3473757923328 is an abundant number, since it is smaller than the sum of its proper divisors (10127337861312).

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

3473757923328 is an equidigital number, since it uses as much as digits as its factorization.

3473757923328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 63.

The spelling of 3473757923328 in words is "three trillion, four hundred seventy-three billion, seven hundred fifty-seven million, nine hundred twenty-three thousand, three hundred twenty-eight".