3450767616 has 144 divisors (see below), whose sum is σ = 10307646720. Its totient is φ = 1138636800.

The previous prime is 3450767611. The next prime is 3450767629. The reversal of 3450767616 is 6167670543.

It is a tau number, because it is divible by the number of its divisors (144).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (3450767611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695641 + ... + 700583.

It is an arithmetic number, because the mean of its divisors is an integer number (71580880).

Almost surely, 2^3450767616 is an apocalyptic number.

3450767616 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 3450767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153823360).

3450767616 is an abundant number, since it is smaller than the sum of its proper divisors (6856879104).

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

3450767616 is a wasteful number, since it uses less digits than its factorization.

3450767616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3450767616 is about 58743.2346402545. The cubic root of 3450767616 is about 1511.1418662970.

The spelling of 3450767616 in words is "three billion, four hundred fifty million, seven hundred sixty-seven thousand, six hundred sixteen".