3468057120 has 768 divisors, whose sum is σ = 14461493760. Its totient is φ = 776355840.

The previous prime is 3468057091. The next prime is 3468057157. The reversal of 3468057120 is 217508643.

3468057120 is a `hidden beast` number, since 3 + 4 + 6 + 80 + 571 + 2 + 0 = 666.

It is a super-3 number, since 3×3468057120³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65435014 + ... + 65435066.

It is an arithmetic number, because the mean of its divisors is an integer number (18830070).

Almost surely, 2^3468057120 is an apocalyptic number.

3468057120 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 3468057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230746880).

3468057120 is an abundant number, since it is smaller than the sum of its proper divisors (10993436640).

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

3468057120 is a wasteful number, since it uses less digits than its factorization.

3468057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3468057120 is about 58890.2124295710. The cubic root of 3468057120 is about 1513.6614389896.

The spelling of 3468057120 in words is "three billion, four hundred sixty-eight million, fifty-seven thousand, one hundred twenty".