34426078593984 has 336 divisors, whose sum is σ = 123993515483136. Its totient is φ = 8871428966400.

The previous prime is 34426078593983. The next prime is 34426078593997. The reversal of 34426078593984 is 48939587062443.

34426078593984 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 607 + 8 + 5 + 9 + 3 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34426078593983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2576794 + ... + 8688614.

Almost surely, 2^{34426078593984} 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 34426078593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61996757741568).

34426078593984 is an abundant number, since it is smaller than the sum of its proper divisors (89567436889152).

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

34426078593984 is a wasteful number, since it uses less digits than its factorization.

34426078593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111984 (or 6111971 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 34426078593984 in words is "thirty-four trillion, four hundred twenty-six billion, seventy-eight million, five hundred ninety-three thousand, nine hundred eighty-four".