34852194000 has 1200 divisors, whose sum is σ = 145633625280. Its totient is φ = 8006169600.

The previous prime is 34852193953. The next prime is 34852194011. The reversal of 34852194000 is 49125843.

34852194000 is a `hidden beast` number, since 3 + 48 + 521 + 94 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×34852194000² (a number of 22 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 520181967 + ... + 520182033.

Almost surely, 2^34852194000 is an apocalyptic number.

34852194000 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 34852194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72816812640).

34852194000 is an abundant number, since it is smaller than the sum of its proper divisors (110781431280).

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

34852194000 is a wasteful number, since it uses less digits than its factorization.

34852194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 34852194000 in words is "thirty-four billion, eight hundred fifty-two million, one hundred ninety-four thousand".