3470884992 has 160 divisors (see below), whose sum is σ = 10663488000. Its totient is φ = 1119536640.

The previous prime is 3470884957. The next prime is 3470884993. The reversal of 3470884992 is 2994880743.

3470884992 is a `hidden beast` number, since 3 + 4 + 70 + 88 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3470884993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316009 + ... + 326807.

It is an arithmetic number, because the mean of its divisors is an integer number (66646800).

Almost surely, 2^3470884992 is an apocalyptic number.

3470884992 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 3470884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331744000).

3470884992 is an abundant number, since it is smaller than the sum of its proper divisors (7192603008).

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

3470884992 is a wasteful number, since it uses less digits than its factorization.

3470884992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10856 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3470884992 is about 58914.2172314968. The cubic root of 3470884992 is about 1514.0727430472.

The spelling of 3470884992 in words is "three billion, four hundred seventy million, eight hundred eighty-four thousand, nine hundred ninety-two".