34191427680 has 576 divisors, whose sum is σ = 125436100608. Its totient is φ = 8465264640.

The previous prime is 34191427679. The next prime is 34191427693. The reversal of 34191427680 is 8672419143.

34191427680 is a `hidden beast` number, since 34 + 191 + 427 + 6 + 8 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209763279 + ... + 209763441.

It is an arithmetic number, because the mean of its divisors is an integer number (217771008).

Almost surely, 2^34191427680 is an apocalyptic number.

34191427680 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 34191427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62718050304).

34191427680 is an abundant number, since it is smaller than the sum of its proper divisors (91244672928).

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

34191427680 is a wasteful number, since it uses less digits than its factorization.

34191427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34191427680 in words is "thirty-four billion, one hundred ninety-one million, four hundred twenty-seven thousand, six hundred eighty".