3040063488000 has 3840 divisors, whose sum is σ = 15230419981920. Its totient is φ = 594542592000.

The previous prime is 3040063487959. The next prime is 3040063488001. The reversal of 3040063488000 is 8843600403.

3040063488000 is a `hidden beast` number, since 304 + 0 + 0 + 6 + 348 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×3040063488000² (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 not an unprimeable number, because it can be changed into a prime (3040063488001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 178827263992 + ... + 178827264008.

Almost surely, 2^{3040063488000} is an apocalyptic number.

3040063488000 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 3040063488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7615209990960).

3040063488000 is an abundant number, since it is smaller than the sum of its proper divisors (12190356493920).

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

3040063488000 is an equidigital number, since it uses as much as digits as its factorization.

3040063488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3040063488000 in words is "three trillion, forty billion, sixty-three million, four hundred eighty-eight thousand".