3610680120000 has 420 divisors, whose sum is σ = 13176643811760. Its totient is φ = 944676096000.

The previous prime is 3610680119923. The next prime is 3610680120017. The reversal of 3610680120000 is 210860163.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18985381 + ... + 19174619.

Almost surely, 2^{3610680120000} is an apocalyptic number.

3610680120000 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 3610680120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588321905880).

3610680120000 is an abundant number, since it is smaller than the sum of its proper divisors (9565963691760).

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

3610680120000 is a wasteful number, since it uses less digits than its factorization.

3610680120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189330 (or 189302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 3610680120000 its reverse (210860163), we get a palindrome (3610890980163).

The spelling of 3610680120000 in words is "three trillion, six hundred ten billion, six hundred eighty million, one hundred twenty thousand".