3427219910400 has 1728 divisors, whose sum is σ = 14228395324416. Its totient is φ = 713687040000.

The previous prime is 3427219910399. The next prime is 3427219910407. The reversal of 3427219910400 is 40199127243.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427219910407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4714194837 + ... + 4714195563.

It is an arithmetic number, because the mean of its divisors is an integer number (8234025072).

Almost surely, 2^{3427219910400} is an apocalyptic number.

3427219910400 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 3427219910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114197662208).

3427219910400 is an abundant number, since it is smaller than the sum of its proper divisors (10801175414016).

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

3427219910400 is a wasteful number, since it uses less digits than its factorization.

3427219910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 3427219910400 in words is "three trillion, four hundred twenty-seven billion, two hundred nineteen million, nine hundred ten thousand, four hundred".