34966668240 has 480 divisors, whose sum is σ = 145838284800. Its totient is φ = 7326858240.

The previous prime is 34966668223. The next prime is 34966668241. The reversal of 34966668240 is 4286666943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34966668241) 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, 2962671 + ... + 2974449.

It is an arithmetic number, because the mean of its divisors is an integer number (303829760).

Almost surely, 2^34966668240 is an apocalyptic number.

34966668240 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 34966668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919142400).

34966668240 is an abundant number, since it is smaller than the sum of its proper divisors (110871616560).

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

34966668240 is a wasteful number, since it uses less digits than its factorization.

34966668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 34966668240 in words is "thirty-four billion, nine hundred sixty-six million, six hundred sixty-eight thousand, two hundred forty".