3373706404800 has 504 divisors, whose sum is σ = 12228329118096. Its totient is φ = 882019860480.

The previous prime is 3373706404729. The next prime is 3373706404823. The reversal of 3373706404800 is 84046073733.

3373706404800 is a `hidden beast` number, since 33 + 73 + 70 + 6 + 4 + 0 + 480 + 0 = 666.

It is a super-2 number, since 2×3373706404800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149446314 + ... + 149468886.

It is an arithmetic number, because the mean of its divisors is an integer number (24262557774).

Almost surely, 2^{3373706404800} is an apocalyptic number.

3373706404800 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 3373706404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114164559048).

3373706404800 is an abundant number, since it is smaller than the sum of its proper divisors (8854622713296).

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

3373706404800 is a wasteful number, since it uses less digits than its factorization.

3373706404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22805 (or 22787 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3373706404800 in words is "three trillion, three hundred seventy-three billion, seven hundred six million, four hundred four thousand, eight hundred".