3364840500000 has 672 divisors, whose sum is σ = 12808996042752. Its totient is φ = 757468800000.

The previous prime is 3364840499983. The next prime is 3364840500029. The reversal of 3364840500000 is 50484633.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3364840500000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 703497609 + ... + 703502391.

It is an arithmetic number, because the mean of its divisors is an integer number (19061006016).

Almost surely, 2^{3364840500000} is an apocalyptic number.

3364840500000 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 3364840500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404498021376).

3364840500000 is an abundant number, since it is smaller than the sum of its proper divisors (9444155542752).

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

3364840500000 is an frugal number, since it uses more digits than its factorization.

3364840500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 3364840500000 its reverse (50484633), we get a palindrome (3364890984633).

The spelling of 3364840500000 in words is "three trillion, three hundred sixty-four billion, eight hundred forty million, five hundred thousand".