3456624744 has 72 divisors (see below), whose sum is σ = 9673617330. Its totient is φ = 1115017920.

The previous prime is 3456624737. The next prime is 3456624749. The reversal of 3456624744 is 4474266543.

3456624744 is a `hidden beast` number, since 3 + 4 + 566 + 2 + 47 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3218292900 + 238331844 = 56730^2 + 15438^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3456624744³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3456624744.

It is not an unprimeable number, because it can be changed into a prime (3456624749) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44214 + ... + 94170.

Almost surely, 2^3456624744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456624744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836808665).

3456624744 is an abundant number, since it is smaller than the sum of its proper divisors (6216992586).

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

3456624744 is a wasteful number, since it uses less digits than its factorization.

3456624744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50031 (or 49993 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The square root of 3456624744 is about 58793.0671423085. The cubic root of 3456624744 is about 1511.9963571761.

The spelling of 3456624744 in words is "three billion, four hundred fifty-six million, six hundred twenty-four thousand, seven hundred forty-four".