3409024080 has 720 divisors, whose sum is σ = 14347813824. Its totient is φ = 661893120.

The previous prime is 3409024079. The next prime is 3409024081. The reversal of 3409024080 is 804209043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3409024079) and next prime (3409024081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409024081) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 46698924 + ... + 46698996.

Almost surely, 2^3409024080 is an apocalyptic number.

3409024080 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 3409024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173906912).

3409024080 is an abundant number, since it is smaller than the sum of its proper divisors (10938789744).

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

3409024080 is a wasteful number, since it uses less digits than its factorization.

3409024080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3409024080 is about 58386.8485191657. The cubic root of 3409024080 is about 1505.0237602162.

The spelling of 3409024080 in words is "three billion, four hundred nine million, twenty-four thousand, eighty".