34890947046 has 64 divisors (see below), whose sum is σ = 81755308800. Its totient is φ = 10999421568.

The previous prime is 34890946963. The next prime is 34890947107. The reversal of 34890947046 is 64074909843.

It is a happy number.

34890947046 is a `hidden beast` number, since 3 + 48 + 90 + 9 + 470 + 46 = 666.

It is a super-2 number, since 2×34890947046² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34890946983 and 34890947001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 579745 + ... + 637091.

It is an arithmetic number, because the mean of its divisors is an integer number (1277426700).

Almost surely, 2^34890947046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34890947046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40877654400).

34890947046 is an abundant number, since it is smaller than the sum of its proper divisors (46864361754).

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

34890947046 is a wasteful number, since it uses less digits than its factorization.

34890947046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57970 (or 57964 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34890947046 in words is "thirty-four billion, eight hundred ninety million, nine hundred forty-seven thousand, forty-six".