34342753536 has 864 divisors, whose sum is σ = 132315805440. Its totient is φ = 8312979456.

The previous prime is 34342753483. The next prime is 34342753547. The reversal of 34342753536 is 63535724343.

34342753536 is a `hidden beast` number, since 3 + 4 + 3 + 42 + 75 + 3 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34342753491 and 34342753500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147393676 + ... + 147393908.

Almost surely, 2^34342753536 is an apocalyptic number.

34342753536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34342753536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66157902720).

34342753536 is an abundant number, since it is smaller than the sum of its proper divisors (97973051904).

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

34342753536 is a wasteful number, since it uses less digits than its factorization.

34342753536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 45.

The spelling of 34342753536 in words is "thirty-four billion, three hundred forty-two million, seven hundred fifty-three thousand, five hundred thirty-six".