3474655161600 has 864 divisors, whose sum is σ = 13463988249600. Its totient is φ = 772760862720.

The previous prime is 3474655161449. The next prime is 3474655161671. The reversal of 3474655161600 is 61615564743.

It is a super-2 number, since 2×3474655161600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3474655161600.

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, 747396076 + ... + 747400724.

Almost surely, 2^{3474655161600} is an apocalyptic number.

3474655161600 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 3474655161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731994124800).

3474655161600 is an abundant number, since it is smaller than the sum of its proper divisors (9989333088000).

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

3474655161600 is a wasteful number, since it uses less digits than its factorization.

3474655161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 3474655161600 in words is "three trillion, four hundred seventy-four billion, six hundred fifty-five million, one hundred sixty-one thousand, six hundred".