3409287120 has 60 divisors (see below), whose sum is σ = 11449524996. Its totient is φ = 909143040.

The previous prime is 3409287113. The next prime is 3409287127. The reversal of 3409287120 is 217829043.

It is an interprime number because it is at equal distance from previous prime (3409287113) and next prime (3409287127).

It can be written as a sum of positive squares in 2 ways, for example, as 1585313856 + 1823973264 = 39816^2 + 42708^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409287127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2366841 + ... + 2368280.

Almost surely, 2^3409287120 is an apocalyptic number.

3409287120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3409287120 is an abundant number, since it is smaller than the sum of its proper divisors (8040237876).

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

3409287120 is a wasteful number, since it uses less digits than its factorization.

3409287120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735140 (or 4735131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3409287120 is about 58389.1010377793. The cubic root of 3409287120 is about 1505.0624683879.

The spelling of 3409287120 in words is "three billion, four hundred nine million, two hundred eighty-seven thousand, one hundred twenty".