3404214000 has 480 divisors, whose sum is σ = 13429765440. Its totient is φ = 823680000.

The previous prime is 3404213987. The next prime is 3404214013. The reversal of 3404214000 is 4124043.

3404214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3404213987) and next prime (3404214013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6533740 + ... + 6534260.

It is an arithmetic number, because the mean of its divisors is an integer number (27978678).

Almost surely, 2^3404214000 is an apocalyptic number.

3404214000 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 3404214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714882720).

3404214000 is an abundant number, since it is smaller than the sum of its proper divisors (10025551440).

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

3404214000 is a wasteful number, since it uses less digits than its factorization.

3404214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3404214000 is about 58345.6425108165. The cubic root of 3404214000 is about 1504.3155719850.

Adding to 3404214000 its reverse (4124043), we get a palindrome (3408338043).

The spelling of 3404214000 in words is "three billion, four hundred four million, two hundred fourteen thousand".