3468086150400 has 1080 divisors, whose sum is σ = 13323405711000. Its totient is φ = 889026969600.

The previous prime is 3468086150393. The next prime is 3468086150423. The reversal of 3468086150400 is 40516808643.

3468086150400 is a `hidden beast` number, since 3 + 4 + 6 + 80 + 8 + 61 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 201593816064 + 3266492334336 = 448992^2 + 1807344^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 5246726070 + ... + 5246726730.

Almost surely, 2^{3468086150400} is an apocalyptic number.

3468086150400 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 3468086150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661702855500).

3468086150400 is an abundant number, since it is smaller than the sum of its proper divisors (9855319560600).

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

3468086150400 is a wasteful number, since it uses less digits than its factorization.

3468086150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1049 counting only the distinct ones).

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

The spelling of 3468086150400 in words is "three trillion, four hundred sixty-eight billion, eighty-six million, one hundred fifty thousand, four hundred".