3445479072 has 384 divisors, whose sum is σ = 11996812800. Its totient is φ = 941580288.

The previous prime is 3445479071. The next prime is 3445479101. The reversal of 3445479072 is 2709745443.

3445479072 is a `hidden beast` number, since 34 + 4 + 547 + 9 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (3445479071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19915978 + ... + 19916150.

It is an arithmetic number, because the mean of its divisors is an integer number (31241700).

Almost surely, 2^3445479072 is an apocalyptic number.

3445479072 is a gapful number since it is divisible by the number (32) 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 3445479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998406400).

3445479072 is an abundant number, since it is smaller than the sum of its proper divisors (8551333728).

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

3445479072 is a wasteful number, since it uses less digits than its factorization.

3445479072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3445479072 is about 58698.2033115154. The cubic root of 3445479072 is about 1510.3694945376.

It can be divided in two parts, 34454 and 79072, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 3445479072 in words is "three billion, four hundred forty-five million, four hundred seventy-nine thousand, seventy-two".