3424654080 has 720 divisors, whose sum is σ = 13622605920. Its totient is φ = 817496064.

The previous prime is 3424654019. The next prime is 3424654081. The reversal of 3424654080 is 804564243.

3424654080 is a `hidden beast` number, since 3 + 4 + 246 + 5 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (3424654081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51114207 + ... + 51114273.

It is an arithmetic number, because the mean of its divisors is an integer number (18920286).

Almost surely, 2^3424654080 is an apocalyptic number.

3424654080 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 3424654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811302960).

3424654080 is an abundant number, since it is smaller than the sum of its proper divisors (10197951840).

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

3424654080 is a wasteful number, since it uses less digits than its factorization.

3424654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3424654080 is about 58520.5440849622. The cubic root of 3424654080 is about 1507.3203766081.

The spelling of 3424654080 in words is "three billion, four hundred twenty-four million, six hundred fifty-four thousand, eighty".