3424530816 has 576 divisors, whose sum is σ = 12576844800. Its totient is φ = 888330240.

The previous prime is 3424530787. The next prime is 3424530829. The reversal of 3424530816 is 6180354243.

3424530816 is a `hidden beast` number, since 3 + 42 + 4 + 530 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3424530816² = 23454822619467251712, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33247821 + ... + 33247923.

It is an arithmetic number, because the mean of its divisors is an integer number (21834800).

Almost surely, 2^3424530816 is an apocalyptic number.

3424530816 is a gapful number since it is divisible by the number (36) 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 3424530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288422400).

3424530816 is an abundant number, since it is smaller than the sum of its proper divisors (9152313984).

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

3424530816 is a wasteful number, since it uses less digits than its factorization.

3424530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3424530816 is about 58519.4909068765. The cubic root of 3424530816 is about 1507.3022920012.

The spelling of 3424530816 in words is "three billion, four hundred twenty-four million, five hundred thirty thousand, eight hundred sixteen".