3479804064 has 360 divisors, whose sum is σ = 11626965504. Its totient is φ = 1012435200.

The previous prime is 3479804063. The next prime is 3479804071. The reversal of 3479804064 is 4604089743.

3479804064 is a `hidden beast` number, since 3 + 479 + 80 + 40 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (3479804063) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27399969 + ... + 27400095.

Almost surely, 2^3479804064 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 3479804064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813482752).

3479804064 is an abundant number, since it is smaller than the sum of its proper divisors (8147161440).

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

3479804064 is a wasteful number, since it uses less digits than its factorization.

3479804064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3479804064 is about 58989.8640785008. The cubic root of 3479804064 is about 1515.3685291096.

The spelling of 3479804064 in words is "three billion, four hundred seventy-nine million, eight hundred four thousand, sixty-four".