3612481488000 has 3072 divisors, whose sum is σ = 16929095040000. Its totient is φ = 731566080000.

The previous prime is 3612481487971. The next prime is 3612481488019. The reversal of 3612481488000 is 8841842163.

3612481488000 is a `hidden beast` number, since 361 + 248 + 1 + 48 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3612481488000² (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 383 ways as a sum of consecutive naturals, for example, 33142031946 + ... + 33142032054.

It is an arithmetic number, because the mean of its divisors is an integer number (5510773125).

Almost surely, 2^{3612481488000} is an apocalyptic number.

3612481488000 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 3612481488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464547520000).

3612481488000 is an abundant number, since it is smaller than the sum of its proper divisors (13316613552000).

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

3612481488000 is a wasteful number, since it uses less digits than its factorization.

3612481488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 3612481488000 in words is "three trillion, six hundred twelve billion, four hundred eighty-one million, four hundred eighty-eight thousand".