34362778320 has 960 divisors, whose sum is σ = 141430947840. Its totient is φ = 7390310400.

The previous prime is 34362778309. The next prime is 34362778349. The reversal of 34362778320 is 2387726343.

34362778320 is a `hidden beast` number, since 343 + 6 + 277 + 8 + 32 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126799785 + ... + 126800055.

It is an arithmetic number, because the mean of its divisors is an integer number (147323904).

Almost surely, 2^34362778320 is an apocalyptic number.

34362778320 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 34362778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70715473920).

34362778320 is an abundant number, since it is smaller than the sum of its proper divisors (107068169520).

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

34362778320 is a wasteful number, since it uses less digits than its factorization.

34362778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 34362778320 in words is "thirty-four billion, three hundred sixty-two million, seven hundred seventy-eight thousand, three hundred twenty".