34939909509120 has 2808 divisors, whose sum is σ = 158496527821632. Its totient is φ = 7236591943680.

The previous prime is 34939909509083. The next prime is 34939909509143. The reversal of 34939909509120 is 2190590993943.

It is a happy number.

34939909509120 is a `hidden beast` number, since 3 + 4 + 9 + 39 + 90 + 9 + 509 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113810780007 + ... + 113810780313.

Almost surely, 2^{34939909509120} is an apocalyptic number.

34939909509120 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 34939909509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79248263910816).

34939909509120 is an abundant number, since it is smaller than the sum of its proper divisors (123556618312512).

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

34939909509120 is an frugal number, since it uses more digits than its factorization.

34939909509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The spelling of 34939909509120 in words is "thirty-four trillion, nine hundred thirty-nine billion, nine hundred nine million, five hundred nine thousand, one hundred twenty".