3172416952320 has 4608 divisors, whose sum is σ = 16061939712000. Its totient is φ = 578086502400.

The previous prime is 3172416952291. The next prime is 3172416952357. The reversal of 3172416952320 is 232596142713.

It is a happy number.

3172416952320 is a `hidden beast` number, since 3 + 1 + 7 + 2 + 41 + 69 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102336030705 + ... + 102336030735.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664000).

Almost surely, 2^{3172416952320} is an apocalyptic number.

3172416952320 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 3172416952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030969856000).

3172416952320 is an abundant number, since it is smaller than the sum of its proper divisors (12889522759680).

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

3172416952320 is a wasteful number, since it uses less digits than its factorization.

3172416952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3172416952320 in words is "three trillion, one hundred seventy-two billion, four hundred sixteen million, nine hundred fifty-two thousand, three hundred twenty".