34945194960 has 800 divisors, whose sum is σ = 136116288000. Its totient is φ = 8255250432.

The previous prime is 34945194959. The next prime is 34945194983. The reversal of 34945194960 is 6949154943.

It is a happy number.

34945194960 is a `hidden beast` number, since 3 + 49 + 451 + 94 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34945194897 and 34945194906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 392642596 + ... + 392642684.

It is an arithmetic number, because the mean of its divisors is an integer number (170145360).

Almost surely, 2^34945194960 is an apocalyptic number.

34945194960 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 34945194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144000).

34945194960 is an abundant number, since it is smaller than the sum of its proper divisors (101171093040).

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

34945194960 is a wasteful number, since it uses less digits than its factorization.

34945194960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 34945194960 in words is "thirty-four billion, nine hundred forty-five million, one hundred ninety-four thousand, nine hundred sixty".