3466505952 has 288 divisors, whose sum is σ = 12553894080. Its totient is φ = 882524160.

The previous prime is 3466505947. The next prime is 3466505993. The reversal of 3466505952 is 2595056643.

3466505952 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 50 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3466505898 and 3466505907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757752 + ... + 762312.

It is an arithmetic number, because the mean of its divisors is an integer number (43589910).

Almost surely, 2^3466505952 is an apocalyptic number.

3466505952 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 3466505952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276947040).

3466505952 is an abundant number, since it is smaller than the sum of its proper divisors (9087388128).

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

3466505952 is a wasteful number, since it uses less digits than its factorization.

3466505952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 3466505952 is about 58877.0409582547. The cubic root of 3466505952 is about 1513.4357320832.

The spelling of 3466505952 in words is "three billion, four hundred sixty-six million, five hundred five thousand, nine hundred fifty-two".