34457240251 has 8 divisors (see below), whose sum is σ = 40025272544. Its totient is φ = 29050600320.

The previous prime is 34457240243. The next prime is 34457240261. The reversal of 34457240251 is 15204275443.

34457240251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34457240251 - 2³ = 34457240243 is a prime.

It is a super-3 number, since 3×34457240251³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34457240251.

It is not an unprimeable number, because it can be changed into a prime (34457240201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40347630 + ... + 40348483.

It is an arithmetic number, because the mean of its divisors is an integer number (5003159068).

Almost surely, 2^34457240251 is an apocalyptic number.

34457240251 is a deficient number, since it is larger than the sum of its proper divisors (5568032293).

34457240251 is an equidigital number, since it uses as much as digits as its factorization.

34457240251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80696181.

The product of its (nonzero) digits is 134400, while the sum is 37.

The spelling of 34457240251 in words is "thirty-four billion, four hundred fifty-seven million, two hundred forty thousand, two hundred fifty-one".