3470804640 has 480 divisors, whose sum is σ = 12961783296. Its totient is φ = 873400320.

The previous prime is 3470804539. The next prime is 3470804663. The reversal of 3470804640 is 464080743.

3470804640 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 8 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3470804595 and 3470804604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21293199 + ... + 21293361.

Almost surely, 2^3470804640 is an apocalyptic number.

3470804640 is a gapful number since it is divisible by the number (30) 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 3470804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480891648).

3470804640 is an abundant number, since it is smaller than the sum of its proper divisors (9490978656).

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

3470804640 is a wasteful number, since it uses less digits than its factorization.

3470804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3470804640 is about 58913.5352868931. The cubic root of 3470804640 is about 1514.0610592151.

The spelling of 3470804640 in words is "three billion, four hundred seventy million, eight hundred four thousand, six hundred forty".