3475723485600 has 216 divisors, whose sum is σ = 12327119849772. Its totient is φ = 921501696000.

The previous prime is 3475723485583. The next prime is 3475723485601. The reversal of 3475723485600 is 65843275743.

It is a happy number.

3475723485600 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 7 + 23 + 4 + 8 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1099402578576 + 2376320907024 = 1048524^2 + 1541532^2 .

It is not an unprimeable number, because it can be changed into a prime (3475723485601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149601 + ... + 2640800.

Almost surely, 2^{3475723485600} is an apocalyptic number.

3475723485600 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 3475723485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163559924886).

3475723485600 is an abundant number, since it is smaller than the sum of its proper divisors (8851396364172).

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

3475723485600 is a wasteful number, since it uses less digits than its factorization.

3475723485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790600 (or 2790584 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 3475723485600 in words is "three trillion, four hundred seventy-five billion, seven hundred twenty-three million, four hundred eighty-five thousand, six hundred".