34606978989120 has 224 divisors, whose sum is σ = 122117782525440. Its totient is φ = 9226104975360.

The previous prime is 34606978989113. The next prime is 34606978989137. The reversal of 34606978989120 is 2198987960643.

34606978989120 is a `hidden beast` number, since 3 + 4 + 606 + 9 + 7 + 8 + 9 + 8 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32506860 + ... + 33554580.

Almost surely, 2^{34606978989120} is an apocalyptic number.

34606978989120 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 34606978989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61058891262720).

34606978989120 is an abundant number, since it is smaller than the sum of its proper divisors (87510803536320).

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

34606978989120 is a wasteful number, since it uses less digits than its factorization.

34606978989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051570 (or 1051554 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 34606978989120 in words is "thirty-four trillion, six hundred six billion, nine hundred seventy-eight million, nine hundred eighty-nine thousand, one hundred twenty".