3456156115200 has 216 divisors, whose sum is σ = 11474345469888. Its totient is φ = 916121968640.

The previous prime is 3456156115169. The next prime is 3456156115207. The reversal of 3456156115200 is 25116516543.

It is not an unprimeable number, because it can be changed into a prime (3456156115207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2667454 + ... + 3745346.

It is an arithmetic number, because the mean of its divisors is an integer number (53121969768).

Almost surely, 2^{3456156115200} is an apocalyptic number.

3456156115200 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 3456156115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737172734944).

3456156115200 is an abundant number, since it is smaller than the sum of its proper divisors (8018189354688).

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

3456156115200 is a wasteful number, since it uses less digits than its factorization.

3456156115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078089 (or 1078070 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 3456156115200 in words is "three trillion, four hundred fifty-six billion, one hundred fifty-six million, one hundred fifteen thousand, two hundred".