3332461410 has 96 divisors (see below), whose sum is σ = 8826959232. Its totient is φ = 872087040.

The previous prime is 3332461381. The next prime is 3332461441. The reversal of 3332461410 is 141642333.

3332461410 is a `hidden beast` number, since 3 + 3 + 3 + 246 + 1 + 410 = 666.

It is a super-2 number, since 2×3332461410² = 22210598098278376200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1874442 + ... + 1876218.

It is an arithmetic number, because the mean of its divisors is an integer number (91947492).

Almost surely, 2^3332461410 is an apocalyptic number.

3332461410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332461410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413479616).

3332461410 is an abundant number, since it is smaller than the sum of its proper divisors (5494497822).

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

3332461410 is a wasteful number, since it uses less digits than its factorization.

3332461410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3332461410 is about 57727.4753475327. The cubic root of 3332461410 is about 1493.6713227820.

The spelling of 3332461410 in words is "three billion, three hundred thirty-two million, four hundred sixty-one thousand, four hundred ten".