3424940064 has 480 divisors, whose sum is σ = 12648867840. Its totient is φ = 896168448.

The previous prime is 3424940063. The next prime is 3424940069. The reversal of 3424940064 is 4600494243.

3424940064 is a `hidden beast` number, since 3 + 4 + 249 + 400 + 6 + 4 = 666.

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 (3424940063) 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, 26967969 + ... + 26968095.

It is an arithmetic number, because the mean of its divisors is an integer number (26351808).

Almost surely, 2^3424940064 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 3424940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324433920).

3424940064 is an abundant number, since it is smaller than the sum of its proper divisors (9223927776).

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

3424940064 is a wasteful number, since it uses less digits than its factorization.

3424940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3424940064 is about 58522.9874835521. The cubic root of 3424940064 is about 1507.3623329149.

The spelling of 3424940064 in words is "three billion, four hundred twenty-four million, nine hundred forty thousand, sixty-four".