3418366734720 has 1024 divisors, whose sum is σ = 15287317401600. Its totient is φ = 703396970496.

The previous prime is 3418366734719. The next prime is 3418366734833. The reversal of 3418366734720 is 274376638143.

3418366734720 is a `hidden beast` number, since 3 + 41 + 8 + 3 + 66 + 73 + 472 + 0 = 666.

It is a super-2 number, since 2×3418366734720² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47259222 + ... + 47331498.

It is an arithmetic number, because the mean of its divisors is an integer number (14929020900).

Almost surely, 2^{3418366734720} is an apocalyptic number.

3418366734720 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 3418366734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643658700800).

3418366734720 is an abundant number, since it is smaller than the sum of its proper divisors (11868950666880).

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

3418366734720 is a wasteful number, since it uses less digits than its factorization.

3418366734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72352 (or 72334 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3418366734720 in words is "three trillion, four hundred eighteen billion, three hundred sixty-six million, seven hundred thirty-four thousand, seven hundred twenty".