3466003072 has 64 divisors (see below), whose sum is σ = 7926575040. Its totient is φ = 1478799360.

The previous prime is 3466003049. The next prime is 3466003091. The reversal of 3466003072 is 2703006643.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3466003072² = 24026354590226874368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194872 + ... + 211912.

It is an arithmetic number, because the mean of its divisors is an integer number (123852735).

Almost surely, 2^3466003072 is an apocalyptic number.

3466003072 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 3466003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963287520).

3466003072 is an abundant number, since it is smaller than the sum of its proper divisors (4460571968).

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

3466003072 is a wasteful number, since it uses less digits than its factorization.

3466003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17289 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 3466003072 is about 58872.7702083060. The cubic root of 3466003072 is about 1513.3625447127.

The spelling of 3466003072 in words is "three billion, four hundred sixty-six million, three thousand, seventy-two".