4351378752 has 336 divisors, whose sum is σ = 15761329920. Its totient is φ = 1169731584.

The previous prime is 4351378751. The next prime is 4351378771. The reversal of 4351378752 is 2578731534.

4351378752 is a `hidden beast` number, since 4 + 3 + 513 + 7 + 87 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4351378698 and 4351378707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4351378751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437913 + ... + 1440935.

It is an arithmetic number, because the mean of its divisors is an integer number (46908720).

Almost surely, 2^4351378752 is an apocalyptic number.

4351378752 is a gapful number since it is divisible by the number (42) 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 4351378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880664960).

4351378752 is an abundant number, since it is smaller than the sum of its proper divisors (11409951168).

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

4351378752 is a wasteful number, since it uses less digits than its factorization.

4351378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3052 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 4351378752 is about 65964.9812552084. The cubic root of 4351378752 is about 1632.5843495679.

It can be divided in two parts, 43513 and 78752, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 4351378752 in words is "four billion, three hundred fifty-one million, three hundred seventy-eight thousand, seven hundred fifty-two".