3674632681720 has 256 divisors, whose sum is σ = 11459088506880. Its totient is φ = 1023132211200.

The previous prime is 3674632681669. The next prime is 3674632681739. The reversal of 3674632681720 is 271862364763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238987 + ... + 2721466.

It is an arithmetic number, because the mean of its divisors is an integer number (44762064480).

Almost surely, 2^{3674632681720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674632681720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729544253440).

3674632681720 is an abundant number, since it is smaller than the sum of its proper divisors (7784455825160).

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

3674632681720 is a wasteful number, since it uses less digits than its factorization.

3674632681720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960526 (or 2960522 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 55.

The spelling of 3674632681720 in words is "three trillion, six hundred seventy-four billion, six hundred thirty-two million, six hundred eighty-one thousand, seven hundred twenty".