3486227428800 has 840 divisors, whose sum is σ = 13425508141056. Its totient is φ = 885660272640.

The previous prime is 3486227428751. The next prime is 3486227428847. The reversal of 3486227428800 is 88247226843.

3486227428800 is a `hidden beast` number, since 3 + 4 + 8 + 622 + 7 + 4 + 2 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 783948177 + ... + 783952623.

Almost surely, 2^{3486227428800} is an apocalyptic number.

3486227428800 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 3486227428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712754070528).

3486227428800 is an abundant number, since it is smaller than the sum of its proper divisors (9939280712256).

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

3486227428800 is a wasteful number, since it uses less digits than its factorization.

3486227428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 3486227428800 in words is "three trillion, four hundred eighty-six billion, two hundred twenty-seven million, four hundred twenty-eight thousand, eight hundred".