3146226013200 has 240 divisors, whose sum is σ = 10621356092480. Its totient is φ = 793899325440.

The previous prime is 3146226013159. The next prime is 3146226013201. The reversal of 3146226013200 is 23106226413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3146226013200² (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 not an unprimeable number, because it can be changed into a prime (3146226013201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19367514 + ... + 19529286.

Almost surely, 2^{3146226013200} is an apocalyptic number.

3146226013200 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 3146226013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310678046240).

3146226013200 is an abundant number, since it is smaller than the sum of its proper divisors (7475130079280).

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

3146226013200 is a wasteful number, since it uses less digits than its factorization.

3146226013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162666 (or 162655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 3146226013200 in words is "three trillion, one hundred forty-six billion, two hundred twenty-six million, thirteen thousand, two hundred".