3452116838400 has 720 divisors, whose sum is σ = 12821587178400. Its totient is φ = 917997649920.

The previous prime is 3452116838383. The next prime is 3452116838449. The reversal of 3452116838400 is 48386112543.

3452116838400 is a `hidden beast` number, since 3 + 4 + 52 + 1 + 168 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3452116838400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1837208661 + ... + 1837210539.

It is an arithmetic number, because the mean of its divisors is an integer number (17807759970).

Almost surely, 2^{3452116838400} is an apocalyptic number.

3452116838400 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 3452116838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410793589200).

3452116838400 is an abundant number, since it is smaller than the sum of its proper divisors (9369470340000).

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

3452116838400 is a wasteful number, since it uses less digits than its factorization.

3452116838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3452116838400 in words is "three trillion, four hundred fifty-two billion, one hundred sixteen million, eight hundred thirty-eight thousand, four hundred".