3334215540000 has 480 divisors, whose sum is σ = 11433108234240. Its totient is φ = 849513600000.

The previous prime is 3334215539987. The next prime is 3334215540017. The reversal of 3334215540000 is 455124333.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3334215540000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3334215540000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146928655 + ... + 146951345.

It is an arithmetic number, because the mean of its divisors is an integer number (23818975488).

Almost surely, 2^{3334215540000} is an apocalyptic number.

3334215540000 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 3334215540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716554117120).

3334215540000 is an abundant number, since it is smaller than the sum of its proper divisors (8098892694240).

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

3334215540000 is a wasteful number, since it uses less digits than its factorization.

3334215540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22834 (or 22811 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 3334215540000 in words is "three trillion, three hundred thirty-four billion, two hundred fifteen million, five hundred forty thousand".