3696675840000 has 3360 divisors, whose sum is σ = 17153653698720. Its totient is φ = 778567680000.

The previous prime is 3696675839957. The next prime is 3696675840001. The reversal of 3696675840000 is 485766963.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696675840001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 217451519992 + ... + 217451520008.

It is an arithmetic number, because the mean of its divisors is an integer number (5105254077).

Almost surely, 2^{3696675840000} is an apocalyptic number.

3696675840000 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 3696675840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576826849360).

3696675840000 is an abundant number, since it is smaller than the sum of its proper divisors (13456977858720).

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

3696675840000 is a wasteful number, since it uses less digits than its factorization.

3696675840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3696675840000 in words is "three trillion, six hundred ninety-six billion, six hundred seventy-five million, eight hundred forty thousand".