3400211211240 has 128 divisors (see below), whose sum is σ = 10337058547200. Its totient is φ = 894676389120.

The previous prime is 3400211211203. The next prime is 3400211211317. The reversal of 3400211211240 is 421121120043.

3400211211240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3400211211240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093535 + ... + 3344145.

It is an arithmetic number, because the mean of its divisors is an integer number (80758269900).

Almost surely, 2^{3400211211240} is an apocalyptic number.

3400211211240 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 3400211211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168529273600).

3400211211240 is an abundant number, since it is smaller than the sum of its proper divisors (6936847335960).

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

3400211211240 is a wasteful number, since it uses less digits than its factorization.

3400211211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250927 (or 1250923 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 3400211211240 its reverse (421121120043), we get a palindrome (3821332331283).

The spelling of 3400211211240 in words is "three trillion, four hundred billion, two hundred eleven million, two hundred eleven thousand, two hundred forty".