34595890506 has 64 divisors (see below), whose sum is σ = 78215529600. Its totient is φ = 11331964800.

The previous prime is 34595890463. The next prime is 34595890513. The reversal of 34595890506 is 60509859543.

It is a happy number.

34595890506 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 589 + 0 + 50 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3852790 + ... + 3861758.

It is an arithmetic number, because the mean of its divisors is an integer number (1222117650).

Almost surely, 2^34595890506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34595890506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39107764800).

34595890506 is an abundant number, since it is smaller than the sum of its proper divisors (43619639094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34595890506 is a wasteful number, since it uses less digits than its factorization.

34595890506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 34595890506 in words is "thirty-four billion, five hundred ninety-five million, eight hundred ninety thousand, five hundred six".