3462723264 has 448 divisors, whose sum is σ = 12617256960. Its totient is φ = 808980480.

The previous prime is 3462723247. The next prime is 3462723293. The reversal of 3462723264 is 4623272643.

3462723264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8264047 + ... + 8264465.

It is an arithmetic number, because the mean of its divisors is an integer number (28163520).

Almost surely, 2^3462723264 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 3462723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308628480).

3462723264 is an abundant number, since it is smaller than the sum of its proper divisors (9154533696).

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

3462723264 is a wasteful number, since it uses less digits than its factorization.

3462723264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The square root of 3462723264 is about 58844.9085648028. The cubic root of 3462723264 is about 1512.8850393621.

The spelling of 3462723264 in words is "three billion, four hundred sixty-two million, seven hundred twenty-three thousand, two hundred sixty-four".