34777365448 has 128 divisors (see below), whose sum is σ = 78058080000. Its totient is φ = 14514662400.

The previous prime is 34777365391. The next prime is 34777365457. The reversal of 34777365448 is 84456377743.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34777365392 and 34777365401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18293298 + ... + 18295198.

It is an arithmetic number, because the mean of its divisors is an integer number (609828750).

Almost surely, 2^34777365448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34777365448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029040000).

34777365448 is an abundant number, since it is smaller than the sum of its proper divisors (43280714552).

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

34777365448 is a wasteful number, since it uses less digits than its factorization.

34777365448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2082 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 58.

The spelling of 34777365448 in words is "thirty-four billion, seven hundred seventy-seven million, three hundred sixty-five thousand, four hundred forty-eight".