3409178840 has 64 divisors (see below), whose sum is σ = 7941490560. Its totient is φ = 1316321280.

The previous prime is 3409178831. The next prime is 3409178867. The reversal of 3409178840 is 488719043.

It is a junction number, because it is equal to n+sod(n) for n = 3409178791 and 3409178800.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 124820 + ... + 149660.

It is an arithmetic number, because the mean of its divisors is an integer number (124085790).

Almost surely, 2^3409178840 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 3409178840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970745280).

3409178840 is an abundant number, since it is smaller than the sum of its proper divisors (4532311720).

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

3409178840 is a wasteful number, since it uses less digits than its factorization.

3409178840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24972 (or 24968 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 3409178840 is about 58388.1738025775. The cubic root of 3409178840 is about 1505.0465344713.

The spelling of 3409178840 in words is "three billion, four hundred nine million, one hundred seventy-eight thousand, eight hundred forty".