3613976640000 has 600 divisors, whose sum is σ = 13311362750400. Its totient is φ = 943186944000.

The previous prime is 3613976639963. The next prime is 3613976640041. The reversal of 3613976640000 is 466793163.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 135346651 + ... + 135373349.

It is an arithmetic number, because the mean of its divisors is an integer number (22185604584).

Almost surely, 2^{3613976640000} is an apocalyptic number.

3613976640000 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 3613976640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655681375200).

3613976640000 is an abundant number, since it is smaller than the sum of its proper divisors (9697386110400).

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

3613976640000 is an equidigital number, since it uses as much as digits as its factorization.

3613976640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26790 (or 26756 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3613976640000 in words is "three trillion, six hundred thirteen billion, nine hundred seventy-six million, six hundred forty thousand".