3402211140 has 96 divisors (see below), whose sum is σ = 10597426560. Its totient is φ = 906162048.

The previous prime is 3402211123. The next prime is 3402211171. The reversal of 3402211140 is 411122043.

3402211140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3402211140² = 23150081282280199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 508054 + ... + 514706.

It is an arithmetic number, because the mean of its divisors is an integer number (110389860).

Almost surely, 2^3402211140 is an apocalyptic number.

3402211140 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 3402211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298713280).

3402211140 is an abundant number, since it is smaller than the sum of its proper divisors (7195215420).

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

3402211140 is a wasteful number, since it uses less digits than its factorization.

3402211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3402211140 is about 58328.4762358833. The cubic root of 3402211140 is about 1504.0204941234.

Adding to 3402211140 its reverse (411122043), we get a palindrome (3813333183).

The spelling of 3402211140 in words is "three billion, four hundred two million, two hundred eleven thousand, one hundred forty".