3346471374400 has 336 divisors, whose sum is σ = 10291534692480. Its totient is φ = 1040490086400.

The previous prime is 3346471374383. The next prime is 3346471374401. The reversal of 3346471374400 is 44731746433.

It is a happy number.

It is a super-2 number, since 2×3346471374400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3346471374401) 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, 50355594 + ... + 50422006.

Almost surely, 2^{3346471374400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346471374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145767346240).

3346471374400 is an abundant number, since it is smaller than the sum of its proper divisors (6945063318080).

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

3346471374400 is a wasteful number, since it uses less digits than its factorization.

3346471374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66862 (or 66847 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 46.

The spelling of 3346471374400 in words is "three trillion, three hundred forty-six billion, four hundred seventy-one million, three hundred seventy-four thousand, four hundred".