34731762345 has 48 divisors (see below), whose sum is σ = 68849164800. Its totient is φ = 15866485632.

The previous prime is 34731762311. The next prime is 34731762389. The reversal of 34731762345 is 54326713743.

34731762345 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 17 + 623 + 4 + 5 = 666.

It is not a de Polignac number, because 34731762345 - 2²⁰ = 34730713769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34731762345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431331 + ... + 505479.

It is an arithmetic number, because the mean of its divisors is an integer number (1434357600).

Almost surely, 2^34731762345 is an apocalyptic number.

34731762345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34731762345 is a deficient number, since it is larger than the sum of its proper divisors (34117402455).

34731762345 is a wasteful number, since it uses less digits than its factorization.

34731762345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75654 (or 75651 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 34731762345 in words is "thirty-four billion, seven hundred thirty-one million, seven hundred sixty-two thousand, three hundred forty-five".