3346227297000 has 1152 divisors, whose sum is σ = 13488666048000. Its totient is φ = 745805491200.

The previous prime is 3346227296987. The next prime is 3346227297001. The reversal of 3346227297000 is 7927226433.

3346227297000 is a `hidden beast` number, since 33 + 462 + 2 + 72 + 97 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3346227297000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3346227297001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3220622481 + ... + 3220623519.

It is an arithmetic number, because the mean of its divisors is an integer number (11708911500).

Almost surely, 2^{3346227297000} is an apocalyptic number.

3346227297000 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 3346227297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744333024000).

3346227297000 is an abundant number, since it is smaller than the sum of its proper divisors (10142438751000).

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

3346227297000 is a wasteful number, since it uses less digits than its factorization.

3346227297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3346227297000 in words is "three trillion, three hundred forty-six billion, two hundred twenty-seven million, two hundred ninety-seven thousand".