3418951680000 has 1120 divisors, whose sum is σ = 12866852890650. Its totient is φ = 907739136000.

The previous prime is 3418951679977. The next prime is 3418951680007. The reversal of 3418951680000 is 861598143.

It can be written as a sum of positive squares in 5 ways, for example, as 444899672064 + 2974052007936 = 667008^2 + 1724544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3418951680007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 14929919886 + ... + 14929920114.

Almost surely, 2^{3418951680000} is an apocalyptic number.

3418951680000 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 3418951680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433426445325).

3418951680000 is an abundant number, since it is smaller than the sum of its proper divisors (9447901210650).

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

3418951680000 is an frugal number, since it uses more digits than its factorization.

3418951680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3418951680000 in words is "three trillion, four hundred eighteen billion, nine hundred fifty-one million, six hundred eighty thousand".