34145971200 has 792 divisors, whose sum is σ = 138590088000. Its totient is φ = 8261222400.

The previous prime is 34145971177. The next prime is 34145971241. The reversal of 34145971200 is 217954143.

34145971200 is a `hidden beast` number, since 3 + 41 + 4 + 597 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68428551 + ... + 68429049.

Almost surely, 2^34145971200 is an apocalyptic number.

34145971200 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 34145971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69295044000).

34145971200 is an abundant number, since it is smaller than the sum of its proper divisors (104444116800).

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

34145971200 is a wasteful number, since it uses less digits than its factorization.

34145971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 34145971200 in words is "thirty-four billion, one hundred forty-five million, nine hundred seventy-one thousand, two hundred".