4295538000 has 640 divisors, whose sum is σ = 17223897600. Its totient is φ = 1016064000.

The previous prime is 4295537999. The next prime is 4295538017. The reversal of 4295538000 is 8355924.

4295538000 is a `hidden beast` number, since 4 + 29 + 553 + 80 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20357895 + ... + 20358105.

It is an arithmetic number, because the mean of its divisors is an integer number (26912340).

Almost surely, 2^4295538000 is an apocalyptic number.

4295538000 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 4295538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611948800).

4295538000 is an abundant number, since it is smaller than the sum of its proper divisors (12928359600).

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

4295538000 is a wasteful number, since it uses less digits than its factorization.

4295538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4295538000 is about 65540.3539813450. The cubic root of 4295538000 is about 1625.5706713617.

The spelling of 4295538000 in words is "four billion, two hundred ninety-five million, five hundred thirty-eight thousand".