3416872273152 has 288 divisors, whose sum is σ = 10390107893760. Its totient is φ = 987532492800.

The previous prime is 3416872273093. The next prime is 3416872273153. The reversal of 3416872273152 is 2513722786143.

It is a super-2 number, since 2×3416872273152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3416872273095 and 3416872273104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416872273153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86371777 + ... + 86411327.

It is an arithmetic number, because the mean of its divisors is an integer number (36076763520).

Almost surely, 2^{3416872273152} is an apocalyptic number.

3416872273152 is a gapful number since it is divisible by the number (32) 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 3416872273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195053946880).

3416872273152 is an abundant number, since it is smaller than the sum of its proper divisors (6973235620608).

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

3416872273152 is a wasteful number, since it uses less digits than its factorization.

3416872273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40109 (or 40095 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 3416872273152 in words is "three trillion, four hundred sixteen billion, eight hundred seventy-two million, two hundred seventy-three thousand, one hundred fifty-two".