4345367040 has 480 divisors, whose sum is σ = 17969117760. Its totient is φ = 992452608.

The previous prime is 4345367011. The next prime is 4345367087. The reversal of 4345367040 is 407635434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×4345367040³ (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 junction number, because it is equal to n+sod(n) for n = 4345366986 and 4345367004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386239 + ... + 3387521.

It is an arithmetic number, because the mean of its divisors is an integer number (37435662).

Almost surely, 2^4345367040 is an apocalyptic number.

4345367040 is a gapful number since it is divisible by the number (40) 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 4345367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8984558880).

4345367040 is an abundant number, since it is smaller than the sum of its proper divisors (13623750720).

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

4345367040 is a wasteful number, since it uses less digits than its factorization.

4345367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4345367040 is about 65919.3980555041. The cubic root of 4345367040 is about 1631.8321626707.

The spelling of 4345367040 in words is "four billion, three hundred forty-five million, three hundred sixty-seven thousand, forty".