3470802048 has 384 divisors, whose sum is σ = 12475008000. Its totient is φ = 938345472.

The previous prime is 3470802047. The next prime is 3470802053. The reversal of 3470802048 is 8402080743.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3470802047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4136413 + ... + 4137251.

It is an arithmetic number, because the mean of its divisors is an integer number (32487000).

Almost surely, 2^3470802048 is an apocalyptic number.

3470802048 is a gapful number since it is divisible by the number (38) 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 3470802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504000).

3470802048 is an abundant number, since it is smaller than the sum of its proper divisors (9004205952).

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

3470802048 is an equidigital number, since it uses as much as digits as its factorization.

3470802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3470802048 is about 58913.5132885487. The cubic root of 3470802048 is about 1514.0606823143.

The spelling of 3470802048 in words is "three billion, four hundred seventy million, eight hundred two thousand, forty-eight".