3373906972800 has 3072 divisors, whose sum is σ = 15231025152000. Its totient is φ = 636611788800.

The previous prime is 3373906972789. The next prime is 3373906972841. The reversal of 3373906972800 is 82796093733.

It is a happy number.

It is a super-2 number, since 2×3373906972800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40649481559 + ... + 40649481641.

It is an arithmetic number, because the mean of its divisors is an integer number (4958016000).

Almost surely, 2^{3373906972800} is an apocalyptic number.

3373906972800 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 3373906972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7615512576000).

3373906972800 is an abundant number, since it is smaller than the sum of its proper divisors (11857118179200).

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

3373906972800 is a wasteful number, since it uses less digits than its factorization.

3373906972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 57.

The spelling of 3373906972800 in words is "three trillion, three hundred seventy-three billion, nine hundred six million, nine hundred seventy-two thousand, eight hundred".