3373450905600 has 864 divisors, whose sum is σ = 12474689146920. Its totient is φ = 870580224000.

The previous prime is 3373450905527. The next prime is 3373450905607. The reversal of 3373450905600 is 65090543733.

3373450905600 is a `hidden beast` number, since 3 + 3 + 7 + 34 + 5 + 0 + 9 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 754646639616 + 2618804265984 = 868704^2 + 1618272^2 .

It is a super-2 number, since 2×3373450905600² (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 (3373450905607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4108953190 + ... + 4108954010.

Almost surely, 2^{3373450905600} is an apocalyptic number.

3373450905600 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 3373450905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237344573460).

3373450905600 is an abundant number, since it is smaller than the sum of its proper divisors (9101238241320).

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

3373450905600 is a wasteful number, since it uses less digits than its factorization.

3373450905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 3373450905600 in words is "three trillion, three hundred seventy-three billion, four hundred fifty million, nine hundred five thousand, six hundred".