34084372560 has 480 divisors, whose sum is σ = 126873879552. Its totient is φ = 7542743040.

The previous prime is 34084372541. The next prime is 34084372571. The reversal of 34084372560 is 6527348043.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 107521522 + ... + 107521838.

Almost surely, 2^34084372560 is an apocalyptic number.

34084372560 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 34084372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63436939776).

34084372560 is an abundant number, since it is smaller than the sum of its proper divisors (92789506992).

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

34084372560 is a wasteful number, since it uses less digits than its factorization.

34084372560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 34084372560 in words is "thirty-four billion, eighty-four million, three hundred seventy-two thousand, five hundred sixty".