3445734816 has 480 divisors, whose sum is σ = 11494264320. Its totient is φ = 1007769600.

The previous prime is 3445734767. The next prime is 3445734821. The reversal of 3445734816 is 6184375443.

3445734816 is a `hidden beast` number, since 34 + 4 + 573 + 48 + 1 + 6 = 666.

3445734816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56487426 + ... + 56487486.

It is an arithmetic number, because the mean of its divisors is an integer number (23946384).

Almost surely, 2^3445734816 is an apocalyptic number.

3445734816 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 3445734816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747132160).

3445734816 is an abundant number, since it is smaller than the sum of its proper divisors (8048529504).

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

3445734816 is a wasteful number, since it uses less digits than its factorization.

3445734816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3445734816 is about 58700.3817364078. The cubic root of 3445734816 is about 1510.4068631562.

The spelling of 3445734816 in words is "three billion, four hundred forty-five million, seven hundred thirty-four thousand, eight hundred sixteen".