34124484641 has 32 divisors (see below), whose sum is σ = 37730085120. Its totient is φ = 30671251200.

The previous prime is 34124484629. The next prime is 34124484661. The reversal of 34124484641 is 14648442143.

It is a cyclic number.

It is not a de Polignac number, because 34124484641 - 2¹⁸ = 34124222497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34124484661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44145131 + ... + 44145903.

It is an arithmetic number, because the mean of its divisors is an integer number (1179065160).

Almost surely, 2^34124484641 is an apocalyptic number.

It is an amenable number.

34124484641 is a deficient number, since it is larger than the sum of its proper divisors (3605600479).

34124484641 is a wasteful number, since it uses less digits than its factorization.

34124484641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337.

The product of its digits is 294912, while the sum is 41.

The spelling of 34124484641 in words is "thirty-four billion, one hundred twenty-four million, four hundred eighty-four thousand, six hundred forty-one".