3373295460480 has 2304 divisors, whose sum is σ = 13987870041600. Its totient is φ = 746873487360.

The previous prime is 3373295460473. The next prime is 3373295460553. The reversal of 3373295460480 is 840645923733.

3373295460480 is a `hidden beast` number, since 3 + 3 + 7 + 3 + 29 + 5 + 4 + 604 + 8 + 0 = 666.

It is a super-2 number, since 2×3373295460480² (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 287 ways as a sum of consecutive naturals, for example, 50347693407 + ... + 50347693473.

It is an arithmetic number, because the mean of its divisors is an integer number (6071124150).

Almost surely, 2^{3373295460480} is an apocalyptic number.

3373295460480 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 3373295460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993935020800).

3373295460480 is an abundant number, since it is smaller than the sum of its proper divisors (10614574581120).

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

3373295460480 is a wasteful number, since it uses less digits than its factorization.

3373295460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3373295460480 in words is "three trillion, three hundred seventy-three billion, two hundred ninety-five million, four hundred sixty thousand, four hundred eighty".