3370090600800 has 3024 divisors, whose sum is σ = 15979183766784. Its totient is φ = 685843200000.

The previous prime is 3370090600783. The next prime is 3370090600813. The reversal of 3370090600800 is 80060900733.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×3370090600800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 22318480725 + ... + 22318480875.

It is an arithmetic number, because the mean of its divisors is an integer number (5284121616).

Almost surely, 2^{3370090600800} is an apocalyptic number.

3370090600800 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 3370090600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989591883392).

3370090600800 is an abundant number, since it is smaller than the sum of its proper divisors (12609093165984).

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

3370090600800 is a wasteful number, since it uses less digits than its factorization.

3370090600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3370090600800 in words is "three trillion, three hundred seventy billion, ninety million, six hundred thousand, eight hundred".