3458400613200 has 480 divisors, whose sum is σ = 13454107632000. Its totient is φ = 838590382080.

The previous prime is 3458400613183. The next prime is 3458400613201. The reversal of 3458400613200 is 23160048543.

3458400613200 is a `hidden beast` number, since 3 + 45 + 8 + 400 + 6 + 1 + 3 + 200 = 666.

3458400613200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458400613201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9222976 + ... + 9590624.

It is an arithmetic number, because the mean of its divisors is an integer number (28029390900).

Almost surely, 2^{3458400613200} is an apocalyptic number.

3458400613200 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 3458400613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727053816000).

3458400613200 is an abundant number, since it is smaller than the sum of its proper divisors (9995707018800).

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

3458400613200 is a wasteful number, since it uses less digits than its factorization.

3458400613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367756 (or 367739 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3458400613200 in words is "three trillion, four hundred fifty-eight billion, four hundred million, six hundred thirteen thousand, two hundred".