3416651472672 has 96 divisors (see below), whose sum is σ = 9966596794560. Its totient is φ = 1138728015360.

The previous prime is 3416651472649. The next prime is 3416651472677. The reversal of 3416651472672 is 2762741566143.

3416651472672 is a `hidden beast` number, since 3 + 4 + 1 + 66 + 51 + 472 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (3416651472677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136308 + ... + 6669900.

It is an arithmetic number, because the mean of its divisors is an integer number (103818716610).

Almost surely, 2^{3416651472672} is an apocalyptic number.

3416651472672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3416651472672 is an abundant number, since it is smaller than the sum of its proper divisors (6549945321888).

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

3416651472672 is a wasteful number, since it uses less digits than its factorization.

3416651472672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541023 (or 541009 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 3416651472672 in words is "three trillion, four hundred sixteen billion, six hundred fifty-one million, four hundred seventy-two thousand, six hundred seventy-two".