3418781921280 has 832 divisors, whose sum is σ = 13458612441600. Its totient is φ = 816328212480.

The previous prime is 3418781921197. The next prime is 3418781921293. The reversal of 3418781921280 is 821291878143.

3418781921280 is a `hidden beast` number, since 3 + 418 + 7 + 8 + 1 + 9 + 212 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407527326 + ... + 407535714.

Almost surely, 2^{3418781921280} is an apocalyptic number.

3418781921280 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 3418781921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729306220800).

3418781921280 is an abundant number, since it is smaller than the sum of its proper divisors (10039830520320).

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

3418781921280 is a wasteful number, since it uses less digits than its factorization.

3418781921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 3418781921280 in words is "three trillion, four hundred eighteen billion, seven hundred eighty-one million, nine hundred twenty-one thousand, two hundred eighty".