3466354752 has 168 divisors, whose sum is σ = 11473419776. Its totient is φ = 980066304.

The previous prime is 3466354733. The next prime is 3466354789. The reversal of 3466354752 is 2574536643.

3466354752 is a `hidden beast` number, since 3 + 4 + 6 + 635 + 4 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 3466354698 and 3466354707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386673 + ... + 395535.

Almost surely, 2^3466354752 is an apocalyptic number.

3466354752 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 3466354752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736709888).

3466354752 is an abundant number, since it is smaller than the sum of its proper divisors (8007065024).

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

3466354752 is a wasteful number, since it uses less digits than its factorization.

3466354752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8972 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The square root of 3466354752 is about 58875.7569123319. The cubic root of 3466354752 is about 1513.4137277160.

The spelling of 3466354752 in words is "three billion, four hundred sixty-six million, three hundred fifty-four thousand, seven hundred fifty-two".