34630941960 has 384 divisors, whose sum is σ = 121457404800. Its totient is φ = 8774438400.

The previous prime is 34630941959. The next prime is 34630941973. The reversal of 34630941960 is 6914903643.

34630941960 is a `hidden beast` number, since 3 + 4 + 630 + 9 + 4 + 1 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 63310407 + ... + 63310953.

It is an arithmetic number, because the mean of its divisors is an integer number (316295325).

Almost surely, 2^34630941960 is an apocalyptic number.

34630941960 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 34630941960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60728702400).

34630941960 is an abundant number, since it is smaller than the sum of its proper divisors (86826462840).

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

34630941960 is a wasteful number, since it uses less digits than its factorization.

34630941960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 34630941960 in words is "thirty-four billion, six hundred thirty million, nine hundred forty-one thousand, nine hundred sixty".