34659379093248 has 1296 divisors, whose sum is σ = 128309603245824. Its totient is φ = 8803875225600.

The previous prime is 34659379093103. The next prime is 34659379093267. The reversal of 34659379093248 is 84239097395643.

34659379093248 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 9 + 379 + 0 + 9 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8555756823 + ... + 8555760873.

Almost surely, 2^{34659379093248} 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 34659379093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64154801622912).

34659379093248 is an abundant number, since it is smaller than the sum of its proper divisors (93650224152576).

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

34659379093248 is a wasteful number, since it uses less digits than its factorization.

34659379093248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 34659379093248 in words is "thirty-four trillion, six hundred fifty-nine billion, three hundred seventy-nine million, ninety-three thousand, two hundred forty-eight".