3612060480000 has 1200 divisors, whose sum is σ = 14444841970944. Its totient is φ = 798658560000.

The previous prime is 3612060479959. The next prime is 3612060480013. The reversal of 3612060480000 is 840602163.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×3612060480000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3612060480000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1458238762 + ... + 1458241238.

Almost surely, 2^{3612060480000} is an apocalyptic number.

3612060480000 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 3612060480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222420985472).

3612060480000 is an abundant number, since it is smaller than the sum of its proper divisors (10832781490944).

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

3612060480000 is an equidigital number, since it uses as much as digits as its factorization.

3612060480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 3612060480000 in words is "three trillion, six hundred twelve billion, sixty million, four hundred eighty thousand".