34250694480 has 320 divisors, whose sum is σ = 120263850240. Its totient is φ = 9069926400.

The previous prime is 34250694469. The next prime is 34250694523. The reversal of 34250694480 is 8449605243.

34250694480 is a `hidden beast` number, since 34 + 2 + 50 + 6 + 94 + 480 = 666.

It is a super-2 number, since 2×34250694480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28517880 + ... + 28519080.

It is an arithmetic number, because the mean of its divisors is an integer number (375824532).

Almost surely, 2^34250694480 is an apocalyptic number.

34250694480 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 34250694480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60131925120).

34250694480 is an abundant number, since it is smaller than the sum of its proper divisors (86013155760).

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

34250694480 is a wasteful number, since it uses less digits than its factorization.

34250694480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34250694480 in words is "thirty-four billion, two hundred fifty million, six hundred ninety-four thousand, four hundred eighty".