4352746400 has 72 divisors (see below), whose sum is σ = 10636194240. Its totient is φ = 1739452160.

The previous prime is 4352746397. The next prime is 4352746403. The reversal of 4352746400 is 46472534.

It is an interprime number because it is at equal distance from previous prime (4352746397) and next prime (4352746403).

It is not an unprimeable number, because it can be changed into a prime (4352746403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1187771 + ... + 1191429.

It is an arithmetic number, because the mean of its divisors is an integer number (147724920).

Almost surely, 2^4352746400 is an apocalyptic number.

4352746400 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 4352746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318097120).

4352746400 is an abundant number, since it is smaller than the sum of its proper divisors (6283447840).

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

4352746400 is a wasteful number, since it uses less digits than its factorization.

4352746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 4352746400 is about 65975.3469107969. The cubic root of 4352746400 is about 1632.7553732797.

The spelling of 4352746400 in words is "four billion, three hundred fifty-two million, seven hundred forty-six thousand, four hundred".