34776836640 has 864 divisors, whose sum is σ = 153592298496. Its totient is φ = 7095029760.

The previous prime is 34776836617. The next prime is 34776836659. The reversal of 34776836640 is 4663867743.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28435069 + ... + 28436291.

It is an arithmetic number, because the mean of its divisors is an integer number (177768864).

Almost surely, 2^34776836640 is an apocalyptic number.

34776836640 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 34776836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76796149248).

34776836640 is an abundant number, since it is smaller than the sum of its proper divisors (118815461856).

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

34776836640 is a wasteful number, since it uses less digits than its factorization.

34776836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 34776836640 in words is "thirty-four billion, seven hundred seventy-six million, eight hundred thirty-six thousand, six hundred forty".