34376627448 has 320 divisors, whose sum is σ = 104128960320. Its totient is φ = 10568448000.

The previous prime is 34376627413. The next prime is 34376627473. The reversal of 34376627448 is 84472667343.

34376627448 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 6 + 627 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34376627394 and 34376627403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61717186 + ... + 61717742.

It is an arithmetic number, because the mean of its divisors is an integer number (325403001).

Almost surely, 2^34376627448 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 34376627448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52064480160).

34376627448 is an abundant number, since it is smaller than the sum of its proper divisors (69752332872).

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

34376627448 is a wasteful number, since it uses less digits than its factorization.

34376627448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 727 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 34376627448 in words is "thirty-four billion, three hundred seventy-six million, six hundred twenty-seven thousand, four hundred forty-eight".