3456025920 has 224 divisors, whose sum is σ = 12245644800. Its totient is φ = 917563392.

The previous prime is 3456025913. The next prime is 3456025921. The reversal of 3456025920 is 295206543.

3456025920 is a `hidden beast` number, since 3 + 4 + 5 + 60 + 2 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456025921) 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 31 ways as a sum of consecutive naturals, for example, 2323417 + ... + 2324903.

Almost surely, 2^3456025920 is an apocalyptic number.

3456025920 is a gapful number since it is divisible by the number (30) 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 3456025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122822400).

3456025920 is an abundant number, since it is smaller than the sum of its proper divisors (8789618880).

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

3456025920 is a wasteful number, since it uses less digits than its factorization.

3456025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3456025920 is about 58787.9742804598. The cubic root of 3456025920 is about 1511.9090396275.

The spelling of 3456025920 in words is "three billion, four hundred fifty-six million, twenty-five thousand, nine hundred twenty".