3409179840 has 420 divisors, whose sum is σ = 13341998208. Its totient is φ = 825707520.

The previous prime is 3409179803. The next prime is 3409179841. The reversal of 3409179840 is 489719043.

3409179840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3409179841) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3135777 + ... + 3136863.

Almost surely, 2^3409179840 is an apocalyptic number.

3409179840 is a gapful number since it is divisible by the number (30) 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 3409179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670999104).

3409179840 is an abundant number, since it is smaller than the sum of its proper divisors (9932818368).

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

3409179840 is a wasteful number, since it uses less digits than its factorization.

3409179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3409179840 is about 58388.1823659548. The cubic root of 3409179840 is about 1505.0466816276.

The spelling of 3409179840 in words is "three billion, four hundred nine million, one hundred seventy-nine thousand, eight hundred forty".