3416371825152 has 640 divisors, whose sum is σ = 10905142026240. Its totient is φ = 936779120640.

The previous prime is 3416371825147. The next prime is 3416371825211. The reversal of 3416371825152 is 2515281736143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3958715473 + ... + 3958716335.

It is an arithmetic number, because the mean of its divisors is an integer number (17039284416).

Almost surely, 2^{3416371825152} is an apocalyptic number.

3416371825152 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 3416371825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452571013120).

3416371825152 is an abundant number, since it is smaller than the sum of its proper divisors (7488770201088).

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

3416371825152 is a wasteful number, since it uses less digits than its factorization.

3416371825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1228 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 3416371825152 in words is "three trillion, four hundred sixteen billion, three hundred seventy-one million, eight hundred twenty-five thousand, one hundred fifty-two".