34980930835200 has 1296 divisors, whose sum is σ = 145600495971840. Its totient is φ = 7846785515520.

The previous prime is 34980930835177. The next prime is 34980930835211. The reversal of 34980930835200 is 253803908943.

It is a happy number.

34980930835200 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 0 + 9 + 30 + 83 + 520 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22670725629 + ... + 22670727171.

Almost surely, 2^{34980930835200} is an apocalyptic number.

34980930835200 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 34980930835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72800247985920).

34980930835200 is an abundant number, since it is smaller than the sum of its proper divisors (110619565136640).

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

34980930835200 is a wasteful number, since it uses less digits than its factorization.

34980930835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34980930835200 in words is "thirty-four trillion, nine hundred eighty billion, nine hundred thirty million, eight hundred thirty-five thousand, two hundred".