34275244500 has 384 divisors, whose sum is σ = 127207342080. Its totient is φ = 7805635200.

The previous prime is 34275244489. The next prime is 34275244511. The reversal of 34275244500 is 544257243.

34275244500 is a `hidden beast` number, since 3 + 42 + 75 + 2 + 44 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (34275244489) and next prime (34275244511).

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, 36193027 + ... + 36193973.

It is an arithmetic number, because the mean of its divisors is an integer number (331269120).

Almost surely, 2^34275244500 is an apocalyptic number.

34275244500 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 34275244500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63603671040).

34275244500 is an abundant number, since it is smaller than the sum of its proper divisors (92932097580).

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

34275244500 is a wasteful number, since it uses less digits than its factorization.

34275244500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 34275244500 in words is "thirty-four billion, two hundred seventy-five million, two hundred forty-four thousand, five hundred".