34478269056 has 768 divisors, whose sum is σ = 131275468800. Its totient is φ = 8807823360.

The previous prime is 34478269043. The next prime is 34478269093. The reversal of 34478269056 is 65096287443.

34478269056 is a `hidden beast` number, since 34 + 478 + 2 + 6 + 90 + 56 = 666.

It is a super-2 number, since 2×34478269056² (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 junction number, because it is equal to n+sod(n) for n = 34478268993 and 34478269011.

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, 154610961 + ... + 154611183.

It is an arithmetic number, because the mean of its divisors is an integer number (170931600).

Almost surely, 2^34478269056 is an apocalyptic number.

34478269056 is a gapful number since it is divisible by the number (36) 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 34478269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65637734400).

34478269056 is an abundant number, since it is smaller than the sum of its proper divisors (96797199744).

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

34478269056 is a wasteful number, since it uses less digits than its factorization.

34478269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 34478269056 in words is "thirty-four billion, four hundred seventy-eight million, two hundred sixty-nine thousand, fifty-six".