3411150688 has 72 divisors (see below), whose sum is σ = 7412962536. Its totient is φ = 1545044160.

The previous prime is 3411150647. The next prime is 3411150697. The reversal of 3411150688 is 8860511143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12053395 + ... + 12053677.

It is an arithmetic number, because the mean of its divisors is an integer number (102957813).

Almost surely, 2^3411150688 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 3411150688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706481268).

3411150688 is an abundant number, since it is smaller than the sum of its proper divisors (4001811848).

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

3411150688 is an frugal number, since it uses more digits than its factorization.

3411150688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 3411150688 is about 58405.0570413213. The cubic root of 3411150688 is about 1505.3366484207.

The spelling of 3411150688 in words is "three billion, four hundred eleven million, one hundred fifty thousand, six hundred eighty-eight".