34762426743 has 48 divisors (see below), whose sum is σ = 51722925408. Its totient is φ = 20749344000.

The previous prime is 34762426703. The next prime is 34762426799.

34762426743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34762426743 - 2⁸ = 34762426487 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34762426692 and 34762426701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34762426703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7220205 + ... + 7225017.

It is an arithmetic number, because the mean of its divisors is an integer number (1077560946).

Almost surely, 2^34762426743 is an apocalyptic number.

34762426743 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34762426743 is a deficient number, since it is larger than the sum of its proper divisors (16960498665).

34762426743 is a wasteful number, since it uses less digits than its factorization.

34762426743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5125 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The spelling of 34762426743 in words is "thirty-four billion, seven hundred sixty-two million, four hundred twenty-six thousand, seven hundred forty-three".