34090383360 has 384 divisors, whose sum is σ = 120577766400. Its totient is φ = 8153333760.

The previous prime is 34090383337. The next prime is 34090383367. The reversal of 34090383360 is 6338309043.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34090383367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26695042 + ... + 26696318.

It is an arithmetic number, because the mean of its divisors is an integer number (314004600).

Almost surely, 2^34090383360 is an apocalyptic number.

34090383360 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 34090383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60288883200).

34090383360 is an abundant number, since it is smaller than the sum of its proper divisors (86487383040).

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

34090383360 is a wasteful number, since it uses less digits than its factorization.

34090383360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 34090383360 in words is "thirty-four billion, ninety million, three hundred eighty-three thousand, three hundred sixty".