3401214320 has 160 divisors (see below), whose sum is σ = 9554388480. Its totient is φ = 1099975680.

The previous prime is 3401214319. The next prime is 3401214343. The reversal of 3401214320 is 234121043.

3401214320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3401214292 and 3401214301.

It is a congruent number.

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, 3116975 + ... + 3118065.

It is an arithmetic number, because the mean of its divisors is an integer number (59714928).

Almost surely, 2^3401214320 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 3401214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777194240).

3401214320 is an abundant number, since it is smaller than the sum of its proper divisors (6153174160).

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

3401214320 is a wasteful number, since it uses less digits than its factorization.

3401214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3401214320 is about 58319.9307269822. The cubic root of 3401214320 is about 1503.8735912130.

Adding to 3401214320 its reverse (234121043), we get a palindrome (3635335363).

The spelling of 3401214320 in words is "three billion, four hundred one million, two hundred fourteen thousand, three hundred twenty".