3456577152 has 320 divisors, whose sum is σ = 11901637440. Its totient is φ = 975421440.

The previous prime is 3456577151. The next prime is 3456577171. The reversal of 3456577152 is 2517756543.

It is a happy number.

3456577152 is a `hidden beast` number, since 3 + 4 + 565 + 77 + 15 + 2 = 666.

It is a super-2 number, since 2×3456577152² = 23895851215456862208, which contains 22 as substring.

Its product of digits (882000) is a multiple of the sum of its prime divisors (600).

It is a junction number, because it is equal to n+sod(n) for n = 3456577098 and 3456577107.

It is not an unprimeable number, because it can be changed into a prime (3456577151) 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 39 ways as a sum of consecutive naturals, for example, 7039627 + ... + 7040117.

It is an arithmetic number, because the mean of its divisors is an integer number (37192617).

Almost surely, 2^3456577152 is an apocalyptic number.

3456577152 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 3456577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950818720).

3456577152 is an abundant number, since it is smaller than the sum of its proper divisors (8445060288).

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

3456577152 is an equidigital number, since it uses as much as digits as its factorization.

3456577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 3456577152 is about 58792.6623993165. The cubic root of 3456577152 is about 1511.9894179154.

The spelling of 3456577152 in words is "three billion, four hundred fifty-six million, five hundred seventy-seven thousand, one hundred fifty-two".