4354657920 has 192 divisors, whose sum is σ = 15104386440. Its totient is φ = 1156055040.

The previous prime is 4354657903. The next prime is 4354657939. The reversal of 4354657920 is 297564534.

4354657920 is a `hidden beast` number, since 4 + 3 + 54 + 6 + 579 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4346501184 + 8156736 = 65928^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1386592 + ... + 1389728.

Almost surely, 2^4354657920 is an apocalyptic number.

4354657920 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 4354657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552193220).

4354657920 is an abundant number, since it is smaller than the sum of its proper divisors (10749728520).

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

4354657920 is a wasteful number, since it uses less digits than its factorization.

4354657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4354657920 is about 65989.8319440200. The cubic root of 4354657920 is about 1632.9943479028.

The spelling of 4354657920 in words is "four billion, three hundred fifty-four million, six hundred fifty-seven thousand, nine hundred twenty".