34078625280 has 480 divisors, whose sum is σ = 140764276224. Its totient is φ = 7449919488.

The previous prime is 34078625263. The next prime is 34078625293. The reversal of 34078625280 is 8252687043.

34078625280 is a `hidden beast` number, since 3 + 40 + 7 + 86 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×34078625280² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3704847 + ... + 3714033.

Almost surely, 2^34078625280 is an apocalyptic number.

34078625280 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 34078625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70382138112).

34078625280 is an abundant number, since it is smaller than the sum of its proper divisors (106685650944).

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

34078625280 is a wasteful number, since it uses less digits than its factorization.

34078625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34078625280 in words is "thirty-four billion, seventy-eight million, six hundred twenty-five thousand, two hundred eighty".