4345380864 has 480 divisors, whose sum is σ = 15099033600. Its totient is φ = 1220935680.

The previous prime is 4345380847. The next prime is 4345380881. The reversal of 4345380864 is 4680835434.

4345380864 is a `hidden beast` number, since 4 + 34 + 538 + 0 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4345380847) and next prime (4345380881).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92454889 + ... + 92454935.

It is an arithmetic number, because the mean of its divisors is an integer number (31456320).

Almost surely, 2^4345380864 is an apocalyptic number.

4345380864 is a gapful number since it is divisible by the number (44) 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 4345380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549516800).

4345380864 is an abundant number, since it is smaller than the sum of its proper divisors (10753652736).

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

4345380864 is a wasteful number, since it uses less digits than its factorization.

4345380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4345380864 is about 65919.5029107471. The cubic root of 4345380864 is about 1631.8338931286.

The spelling of 4345380864 in words is "four billion, three hundred forty-five million, three hundred eighty thousand, eight hundred sixty-four".