34457628131 has 8 divisors (see below), whose sum is σ = 35121328704. Its totient is φ = 33794429760.

The previous prime is 34457628113. The next prime is 34457628143. The reversal of 34457628131 is 13182675443.

It is a happy number.

34457628131 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 a cyclic number.

It is not a de Polignac number, because 34457628131 - 2⁶ = 34457628067 is a prime.

It is a super-2 number, since 2×34457628131² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34457628631) 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, 14486 + ... + 262916.

It is an arithmetic number, because the mean of its divisors is an integer number (4390166088).

Almost surely, 2^34457628131 is an apocalyptic number.

34457628131 is a deficient number, since it is larger than the sum of its proper divisors (663700573).

34457628131 is a wasteful number, since it uses less digits than its factorization.

34457628131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251101.

The product of its digits is 483840, while the sum is 44.

The spelling of 34457628131 in words is "thirty-four billion, four hundred fifty-seven million, six hundred twenty-eight thousand, one hundred thirty-one".