34738409061000 has 256 divisors, whose sum is σ = 126764722656000. Its totient is φ = 8776019001600.

The previous prime is 34738409060983. The next prime is 34738409061001. The reversal of 34738409061000 is 16090483743.

34738409061000 is a `hidden beast` number, since 3 + 473 + 84 + 0 + 90 + 6 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34738409061001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33345099 + ... + 34371098.

It is an arithmetic number, because the mean of its divisors is an integer number (495174697875).

Almost surely, 2^{34738409061000} is an apocalyptic number.

34738409061000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34738409061000 is an abundant number, since it is smaller than the sum of its proper divisors (92026313595000).

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

34738409061000 is a wasteful number, since it uses less digits than its factorization.

34738409061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67716246 (or 67716226 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34738409061000 in words is "thirty-four trillion, seven hundred thirty-eight billion, four hundred nine million, sixty-one thousand".