34200401004936 has 384 divisors, whose sum is σ = 103661700480000. Its totient is φ = 10134589710336.

The previous prime is 34200401004863. The next prime is 34200401005019. The reversal of 34200401004936 is 63940010400243.

It is a happy number.

34200401004936 is a `hidden beast` number, since 3 + 4 + 20 + 0 + 40 + 100 + 493 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34200401004936.

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, 6334577965 + ... + 6334583363.

It is an arithmetic number, because the mean of its divisors is an integer number (269952345000).

Almost surely, 2^{34200401004936} is an apocalyptic number.

34200401004936 is a gapful number since it is divisible by the number (36) 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 34200401004936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51830850240000).

34200401004936 is an abundant number, since it is smaller than the sum of its proper divisors (69461299475064).

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

34200401004936 is a wasteful number, since it uses less digits than its factorization.

34200401004936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34200401004936 in words is "thirty-four trillion, two hundred billion, four hundred one million, four thousand, nine hundred thirty-six".