3464793120 has 192 divisors, whose sum is σ = 11929752576. Its totient is φ = 841482240.

The previous prime is 3464793119. The next prime is 3464793121. The reversal of 3464793120 is 213974643.

It is an interprime number because it is at equal distance from previous prime (3464793119) and next prime (3464793121).

It is not an unprimeable number, because it can be changed into a prime (3464793121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246112 + ... + 259808.

It is an arithmetic number, because the mean of its divisors is an integer number (62134128).

Almost surely, 2^3464793120 is an apocalyptic number.

3464793120 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 3464793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964876288).

3464793120 is an abundant number, since it is smaller than the sum of its proper divisors (8464959456).

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

3464793120 is a wasteful number, since it uses less digits than its factorization.

3464793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3464793120 is about 58862.4933212993. The cubic root of 3464793120 is about 1513.1864235808.

The spelling of 3464793120 in words is "three billion, four hundred sixty-four million, seven hundred ninety-three thousand, one hundred twenty".