34791486240 has 192 divisors, whose sum is σ = 126835752960. Its totient is φ = 7851617280.

The previous prime is 34791486227. The next prime is 34791486241. The reversal of 34791486240 is 4268419743.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34791486240.

It is not an unprimeable number, because it can be changed into a prime (34791486241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 199905 + ... + 330975.

It is an arithmetic number, because the mean of its divisors is an integer number (660602880).

Almost surely, 2^34791486240 is an apocalyptic number.

34791486240 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 34791486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63417876480).

34791486240 is an abundant number, since it is smaller than the sum of its proper divisors (92044266720).

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

34791486240 is a wasteful number, since it uses less digits than its factorization.

34791486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131175 (or 131167 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 34791486240 in words is "thirty-four billion, seven hundred ninety-one million, four hundred eighty-six thousand, two hundred forty".