34257758920704 has 224 divisors, whose sum is σ = 110725399356480. Its totient is φ = 10381138329600.

The previous prime is 34257758920699. The next prime is 34257758920709. The reversal of 34257758920704 is 40702985775243.

It is a happy number.

34257758920704 is a `hidden beast` number, since 3 + 4 + 2 + 577 + 58 + 9 + 2 + 0 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34257758920699) and next prime (34257758920709).

It is not an unprimeable number, because it can be changed into a prime (34257758920709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4607137 + ... + 9473184.

Almost surely, 2^{34257758920704} is an apocalyptic number.

It is an amenable number.

34257758920704 is an abundant number, since it is smaller than the sum of its proper divisors (76467640435776).

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

34257758920704 is a wasteful number, since it uses less digits than its factorization.

34257758920704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14080367 (or 14080337 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 34257758920704 in words is "thirty-four trillion, two hundred fifty-seven billion, seven hundred fifty-eight million, nine hundred twenty thousand, seven hundred four".