34375340248704 has 1536 divisors, whose sum is σ = 129470431104000. Its totient is φ = 8898282086400.

The previous prime is 34375340248657. The next prime is 34375340248751. The reversal of 34375340248704 is 40784204357343.

34375340248704 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 534 + 0 + 24 + 87 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34375340248657) and next prime (34375340248751).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32707268979 + ... + 32707270029.

It is an arithmetic number, because the mean of its divisors is an integer number (84290645250).

Almost surely, 2^{34375340248704} 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 34375340248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64735215552000).

34375340248704 is an abundant number, since it is smaller than the sum of its proper divisors (95095090855296).

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

34375340248704 is a wasteful number, since it uses less digits than its factorization.

34375340248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 34375340248704 in words is "thirty-four trillion, three hundred seventy-five billion, three hundred forty million, two hundred forty-eight thousand, seven hundred four".