3466923264 has 432 divisors, whose sum is σ = 12053059200. Its totient is φ = 957358080.

The previous prime is 3466923263. The next prime is 3466923283. The reversal of 3466923264 is 4623296643.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466923263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32401099 + ... + 32401205.

It is an arithmetic number, because the mean of its divisors is an integer number (27900600).

Almost surely, 2^3466923264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026529600).

3466923264 is an abundant number, since it is smaller than the sum of its proper divisors (8586135936).

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

3466923264 is a wasteful number, since it uses less digits than its factorization.

3466923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 3466923264 is about 58880.5847797048. The cubic root of 3466923264 is about 1513.4964608169.

The spelling of 3466923264 in words is "three billion, four hundred sixty-six million, nine hundred twenty-three thousand, two hundred sixty-four".