34871791320 has 384 divisors, whose sum is σ = 121305600000. Its totient is φ = 8669067264.

The previous prime is 34871791309. The next prime is 34871791321. The reversal of 34871791320 is 2319717843.

34871791320 is a `hidden beast` number, since 348 + 7 + 179 + 132 + 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 not an unprimeable number, because it can be changed into a prime (34871791321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58216381 + ... + 58216979.

It is an arithmetic number, because the mean of its divisors is an integer number (315900000).

Almost surely, 2^34871791320 is an apocalyptic number.

34871791320 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 34871791320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800000).

34871791320 is an abundant number, since it is smaller than the sum of its proper divisors (86433808680).

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

34871791320 is a wasteful number, since it uses less digits than its factorization.

34871791320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 34871791320 in words is "thirty-four billion, eight hundred seventy-one million, seven hundred ninety-one thousand, three hundred twenty".