3004497100800 has 1728 divisors, whose sum is σ = 12315582038760. Its totient is φ = 722369249280.

The previous prime is 3004497100751. The next prime is 3004497100817. The reversal of 3004497100800 is 80017944003.

It is a happy number.

3004497100800 is a `hidden beast` number, since 30 + 0 + 449 + 7 + 100 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 107 ways as a sum of consecutive naturals, for example, 69872025579 + ... + 69872025621.

Almost surely, 2^{3004497100800} is an apocalyptic number.

3004497100800 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 3004497100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157791019380).

3004497100800 is an abundant number, since it is smaller than the sum of its proper divisors (9311084937960).

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

3004497100800 is an frugal number, since it uses more digits than its factorization.

3004497100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 3004497100800 in words is "three trillion, four billion, four hundred ninety-seven million, one hundred thousand, eight hundred".