34380952200000 has 3024 divisors, whose sum is σ = 154653717778560. Its totient is φ = 7407106560000.

The previous prime is 34380952199953. The next prime is 34380952200029. The reversal of 34380952200000 is 225908343.

34380952200000 is a `hidden beast` number, since 343 + 8 + 0 + 95 + 220 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 431 ways as a sum of consecutive naturals, for example, 174522599902 + ... + 174522600098.

It is an arithmetic number, because the mean of its divisors is an integer number (51142102440).

Almost surely, 2^{34380952200000} is an apocalyptic number.

34380952200000 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 34380952200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77326858889280).

34380952200000 is an abundant number, since it is smaller than the sum of its proper divisors (120272765578560).

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

34380952200000 is an frugal number, since it uses more digits than its factorization.

34380952200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34380952200000 in words is "thirty-four trillion, three hundred eighty billion, nine hundred fifty-two million, two hundred thousand".