34946786760 has 32 divisors (see below), whose sum is σ = 104840360640. Its totient is φ = 9319143104.

The previous prime is 34946786759. The next prime is 34946786779. The reversal of 34946786760 is 6768764943.

It is a happy number.

It is a super-2 number, since 2×34946786760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 34946786694 and 34946786703.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 145611492 + ... + 145611731.

It is an arithmetic number, because the mean of its divisors is an integer number (3276261270).

Almost surely, 2^34946786760 is an apocalyptic number.

34946786760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34946786760 is an abundant number, since it is smaller than the sum of its proper divisors (69893573880).

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

34946786760 is a wasteful number, since it uses less digits than its factorization.

34946786760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291223237 (or 291223233 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 34946786760 in words is "thirty-four billion, nine hundred forty-six million, seven hundred eighty-six thousand, seven hundred sixty".