3420775238400 has 1296 divisors, whose sum is σ = 13918908820320. Its totient is φ = 821211955200.

The previous prime is 3420775238381. The next prime is 3420775238443. The reversal of 3420775238400 is 48325770243.

3420775238400 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 7 + 7 + 5 + 238 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1197329772 + ... + 1197332628.

Almost surely, 2^{3420775238400} is an apocalyptic number.

3420775238400 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 3420775238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959454410160).

3420775238400 is an abundant number, since it is smaller than the sum of its proper divisors (10498133581920).

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

3420775238400 is a wasteful number, since it uses less digits than its factorization.

3420775238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 3420775238400 in words is "three trillion, four hundred twenty billion, seven hundred seventy-five million, two hundred thirty-eight thousand, four hundred".