3478205952 has 240 divisors, whose sum is σ = 11165202048. Its totient is φ = 1035141120.

The previous prime is 3478205923. The next prime is 3478205953. The reversal of 3478205952 is 2595028743.

3478205952 is a `hidden beast` number, since 34 + 7 + 8 + 20 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3478205898 and 3478205907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478205953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856088 + ... + 1857960.

Almost surely, 2^3478205952 is an apocalyptic number.

3478205952 is a gapful number since it is divisible by the number (32) 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 3478205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582601024).

3478205952 is an abundant number, since it is smaller than the sum of its proper divisors (7686996096).

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

3478205952 is a wasteful number, since it uses less digits than its factorization.

3478205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3478205952 is about 58976.3168738096. The cubic root of 3478205952 is about 1515.1365141829.

The spelling of 3478205952 in words is "three billion, four hundred seventy-eight million, two hundred five thousand, nine hundred fifty-two".