3687254896416 has 384 divisors, whose sum is σ = 13020315549696. Its totient is φ = 885733539840.

The previous prime is 3687254896411. The next prime is 3687254896489. The reversal of 3687254896416 is 6146984527863.

It is a super-2 number, since 2×3687254896416² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3687254896411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4203421 + ... + 5004323.

It is an arithmetic number, because the mean of its divisors is an integer number (33907071744).

Almost surely, 2^{3687254896416} 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 3687254896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510157774848).

3687254896416 is an abundant number, since it is smaller than the sum of its proper divisors (9333060653280).

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

3687254896416 is a wasteful number, since it uses less digits than its factorization.

3687254896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800984 (or 800976 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 3687254896416 in words is "three trillion, six hundred eighty-seven billion, two hundred fifty-four million, eight hundred ninety-six thousand, four hundred sixteen".