4346546400 has 1152 divisors, whose sum is σ = 20248704000. Its totient is φ = 875888640.

The previous prime is 4346546389. The next prime is 4346546401. The reversal of 4346546400 is 46456434.

4346546400 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 5 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4346546401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48837556 + ... + 48837644.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 2^4346546400 is an apocalyptic number.

4346546400 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 4346546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352000).

4346546400 is an abundant number, since it is smaller than the sum of its proper divisors (15902157600).

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

4346546400 is a wasteful number, since it uses less digits than its factorization.

4346546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4346546400 is about 65928.3429186568. The cubic root of 4346546400 is about 1631.9797791612.

The spelling of 4346546400 in words is "four billion, three hundred forty-six million, five hundred forty-six thousand, four hundred".