34225263265500 has 288 divisors, whose sum is σ = 111679391416320. Its totient is φ = 8814319920000.

The previous prime is 34225263265439. The next prime is 34225263265517. The reversal of 34225263265500 is 556236252243.

34225263265500 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 5 + 2 + 632 + 6 + 5 + 5 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68244661 + ... + 68744339.

It is an arithmetic number, because the mean of its divisors is an integer number (387775664640).

Almost surely, 2^{34225263265500} is an apocalyptic number.

34225263265500 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 34225263265500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55839695708160).

34225263265500 is an abundant number, since it is smaller than the sum of its proper divisors (77454128150820).

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

34225263265500 is a wasteful number, since it uses less digits than its factorization.

34225263265500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500226 (or 500211 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 34225263265500 in words is "thirty-four trillion, two hundred twenty-five billion, two hundred sixty-three million, two hundred sixty-five thousand, five hundred".