4349378160 has 320 divisors, whose sum is σ = 15909696000. Its totient is φ = 1089054720.

The previous prime is 4349378129. The next prime is 4349378161. The reversal of 4349378160 is 618739434.

4349378160 is a `hidden beast` number, since 434 + 93 + 78 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4349378161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5375836 + ... + 5376644.

It is an arithmetic number, because the mean of its divisors is an integer number (49717800).

Almost surely, 2^4349378160 is an apocalyptic number.

4349378160 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 4349378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954848000).

4349378160 is an abundant number, since it is smaller than the sum of its proper divisors (11560317840).

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

4349378160 is a wasteful number, since it uses less digits than its factorization.

4349378160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4349378160 is about 65949.8154660041. The cubic root of 4349378160 is about 1632.3341119574.

The spelling of 4349378160 in words is "four billion, three hundred forty-nine million, three hundred seventy-eight thousand, one hundred sixty".