34930585638000 has 480 divisors, whose sum is σ = 136251733205952. Its totient is φ = 8598296448000.

The previous prime is 34930585637953. The next prime is 34930585638017. The reversal of 34930585638000 is 83658503943.

It is a happy number.

34930585638000 is a `hidden beast` number, since 3 + 49 + 30 + 5 + 8 + 563 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3553630 + ... + 9082370.

Almost surely, 2^{34930585638000} is an apocalyptic number.

34930585638000 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 34930585638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68125866602976).

34930585638000 is an abundant number, since it is smaller than the sum of its proper divisors (101321147567952).

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

34930585638000 is a wasteful number, since it uses less digits than its factorization.

34930585638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528792 (or 5528764 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 34930585638000 in words is "thirty-four trillion, nine hundred thirty billion, five hundred eighty-five million, six hundred thirty-eight thousand".