3340015021200 has 480 divisors, whose sum is σ = 13116190510080. Its totient is φ = 714918758400.

The previous prime is 3340015021199. The next prime is 3340015021249. The reversal of 3340015021200 is 21205100433.

It is a super-2 number, since 2×3340015021200² (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 95 ways as a sum of consecutive naturals, for example, 3523671 + ... + 4369929.

It is an arithmetic number, because the mean of its divisors is an integer number (27325396896).

Almost surely, 2^{3340015021200} is an apocalyptic number.

3340015021200 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 3340015021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558095255040).

3340015021200 is an abundant number, since it is smaller than the sum of its proper divisors (9776175488880).

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

3340015021200 is a wasteful number, since it uses less digits than its factorization.

3340015021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846327 (or 846316 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 3340015021200 in words is "three trillion, three hundred forty billion, fifteen million, twenty-one thousand, two hundred".