34364943360 has 880 divisors, whose sum is σ = 139243686912. Its totient is φ = 8062156800.

The previous prime is 34364943337. The next prime is 34364943367. The reversal of 34364943360 is 6334946343.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364943367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1108546545 + ... + 1108546575.

Almost surely, 2^34364943360 is an apocalyptic number.

34364943360 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 34364943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69621843456).

34364943360 is an abundant number, since it is smaller than the sum of its proper divisors (104878743552).

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

34364943360 is an frugal number, since it uses more digits than its factorization.

34364943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 34364943360 in words is "thirty-four billion, three hundred sixty-four million, nine hundred forty-three thousand, three hundred sixty".