34322349360 has 480 divisors, whose sum is σ = 124960002048. Its totient is φ = 7737845760.

The previous prime is 34322349343. The next prime is 34322349367. The reversal of 34322349360 is 6394322343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (34322349367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34915429 + ... + 34916411.

Almost surely, 2^34322349360 is an apocalyptic number.

34322349360 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 34322349360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62480001024).

34322349360 is an abundant number, since it is smaller than the sum of its proper divisors (90637652688).

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

34322349360 is a wasteful number, since it uses less digits than its factorization.

34322349360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 39.

The spelling of 34322349360 in words is "thirty-four billion, three hundred twenty-two million, three hundred forty-nine thousand, three hundred sixty".