3680007600000 has 384 divisors, whose sum is σ = 12355632626400. Its totient is φ = 970280960000.

The previous prime is 3680007599977. The next prime is 3680007600019. The reversal of 3680007600000 is 67000863.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106782772 + ... + 106817228.

Almost surely, 2^{3680007600000} is an apocalyptic number.

3680007600000 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 3680007600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177816313200).

3680007600000 is an abundant number, since it is smaller than the sum of its proper divisors (8675625026400).

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

3680007600000 is an frugal number, since it uses more digits than its factorization.

3680007600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34588 (or 34556 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 3680007600000 in words is "three trillion, six hundred eighty billion, seven million, six hundred thousand".