3424314960 has 320 divisors, whose sum is σ = 12959170560. Its totient is φ = 824209920.

The previous prime is 3424314953. The next prime is 3424314973. The reversal of 3424314960 is 694134243.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3967489 + ... + 3968351.

It is an arithmetic number, because the mean of its divisors is an integer number (40497408).

Almost surely, 2^3424314960 is an apocalyptic number.

3424314960 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 3424314960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479585280).

3424314960 is an abundant number, since it is smaller than the sum of its proper divisors (9534855600).

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

3424314960 is a wasteful number, since it uses less digits than its factorization.

3424314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3424314960 is about 58517.6465692188. The cubic root of 3424314960 is about 1507.2706217669.

The spelling of 3424314960 in words is "three billion, four hundred twenty-four million, three hundred fourteen thousand, nine hundred sixty".