34940763360 has 144 divisors (see below), whose sum is σ = 119354180400. Its totient is φ = 9308252160.

The previous prime is 34940763349. The next prime is 34940763413. The reversal of 34940763360 is 6336704943.

34940763360 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 0 + 7 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1498995 + ... + 1522125.

It is an arithmetic number, because the mean of its divisors is an integer number (828848475).

Almost surely, 2^34940763360 is an apocalyptic number.

34940763360 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 34940763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59677090200).

34940763360 is an abundant number, since it is smaller than the sum of its proper divisors (84413417040).

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

34940763360 is a wasteful number, since it uses less digits than its factorization.

34940763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24201 (or 24190 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 34940763360 in words is "thirty-four billion, nine hundred forty million, seven hundred sixty-three thousand, three hundred sixty".