34288506900 has 180 divisors, whose sum is σ = 113515942848. Its totient is φ = 8948957760.

The previous prime is 34288506893. The next prime is 34288507037. The reversal of 34288506900 is 960588243.

34288506900 is a `hidden beast` number, since 34 + 28 + 8 + 506 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×34288506900² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 335667 + ... + 425733.

Almost surely, 2^34288506900 is an apocalyptic number.

34288506900 is a gapful number since it is divisible by the number (30) 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 34288506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56757971424).

34288506900 is an abundant number, since it is smaller than the sum of its proper divisors (79227435948).

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

34288506900 is a wasteful number, since it uses less digits than its factorization.

34288506900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90140 (or 90124 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34288506900 in words is "thirty-four billion, two hundred eighty-eight million, five hundred six thousand, nine hundred".