4346542080 has 384 divisors, whose sum is σ = 15724800000. Its totient is φ = 1138655232.

The previous prime is 4346542063. The next prime is 4346542117. The reversal of 4346542080 is 802456434.

4346542080 is a `hidden beast` number, since 4 + 34 + 6 + 542 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21841821 + ... + 21842019.

It is an arithmetic number, because the mean of its divisors is an integer number (40950000).

Almost surely, 2^4346542080 is an apocalyptic number.

4346542080 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 4346542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400000).

4346542080 is an abundant number, since it is smaller than the sum of its proper divisors (11378257920).

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

4346542080 is a wasteful number, since it uses less digits than its factorization.

4346542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4346542080 is about 65928.3101558048. The cubic root of 4346542080 is about 1631.9792384902.

The spelling of 4346542080 in words is "four billion, three hundred forty-six million, five hundred forty-two thousand, eighty".