3467003904 has 576 divisors, whose sum is σ = 12949372800. Its totient is φ = 897122304.

The previous prime is 3467003893. The next prime is 3467003921. The reversal of 3467003904 is 4093007643.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65415142 + ... + 65415194.

It is an arithmetic number, because the mean of its divisors is an integer number (22481550).

Almost surely, 2^3467003904 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 3467003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474686400).

3467003904 is an abundant number, since it is smaller than the sum of its proper divisors (9482368896).

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

3467003904 is a wasteful number, since it uses less digits than its factorization.

3467003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3467003904 is about 58881.2695515306. The cubic root of 3467003904 is about 1513.5081952760.

The spelling of 3467003904 in words is "three billion, four hundred sixty-seven million, three thousand, nine hundred four".