34359738360 has 128 divisors (see below), whose sum is σ = 109569049920. Its totient is φ = 8589934592.

The previous prime is 34359738337. The next prime is 34359738421. The reversal of 34359738360 is 6383795343.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 34359738360 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491512 + ... + 557048.

Almost surely, 2^34359738360 is an apocalyptic number.

34359738360 is a gapful number since it is divisible by the number (30) 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 34359738360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54784524960).

34359738360 is an abundant number, since it is smaller than the sum of its proper divisors (75209311560).

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

34359738360 is a wasteful number, since it uses less digits than its factorization.

34359738360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65825 (or 65821 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 34359738360 in words is "thirty-four billion, three hundred fifty-nine million, seven hundred thirty-eight thousand, three hundred sixty".