3434120121400 has 96 divisors (see below), whose sum is σ = 8139844016640. Its totient is φ = 1347076748160.

The previous prime is 3434120121353. The next prime is 3434120121403. The reversal of 3434120121400 is 41210214343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434120121403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2413587 + ... + 3562813.

It is an arithmetic number, because the mean of its divisors is an integer number (84790041840).

Almost surely, 2^{3434120121400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434120121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069922008320).

3434120121400 is an abundant number, since it is smaller than the sum of its proper divisors (4705723895240).

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

3434120121400 is a wasteful number, since it uses less digits than its factorization.

3434120121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149533 (or 1149524 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3434120121400 its reverse (41210214343), we get a palindrome (3475330335743).

The spelling of 3434120121400 in words is "three trillion, four hundred thirty-four billion, one hundred twenty million, one hundred twenty-one thousand, four hundred".