3476849608320 has 512 divisors, whose sum is σ = 12237341276160. Its totient is φ = 832638566400.

The previous prime is 3476849608291. The next prime is 3476849608333. The reversal of 3476849608320 is 238069486743.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002839227 + ... + 1002842693.

It is an arithmetic number, because the mean of its divisors is an integer number (23901057180).

Almost surely, 2^{3476849608320} is an apocalyptic number.

3476849608320 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 3476849608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118670638080).

3476849608320 is an abundant number, since it is smaller than the sum of its proper divisors (8760491667840).

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

3476849608320 is a wasteful number, since it uses less digits than its factorization.

3476849608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 3476849608320 in words is "three trillion, four hundred seventy-six billion, eight hundred forty-nine million, six hundred eight thousand, three hundred twenty".