3434022000 has 320 divisors, whose sum is σ = 12952742400. Its totient is φ = 867283200.

The previous prime is 3434021971. The next prime is 3434022029. The reversal of 3434022000 is 2204343.

It is an interprime number because it is at equal distance from previous prime (3434021971) and next prime (3434022029).

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 63 ways as a sum of consecutive naturals, for example, 1024327 + ... + 1027673.

It is an arithmetic number, because the mean of its divisors is an integer number (40477320).

Almost surely, 2^3434022000 is an apocalyptic number.

3434022000 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 3434022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476371200).

3434022000 is an abundant number, since it is smaller than the sum of its proper divisors (9518720400).

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

3434022000 is a wasteful number, since it uses less digits than its factorization.

3434022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3434022000 is about 58600.5290078511. The cubic root of 3434022000 is about 1508.6935178271.

Adding to 3434022000 its reverse (2204343), we get a palindrome (3436226343).

The spelling of 3434022000 in words is "three billion, four hundred thirty-four million, twenty-two thousand".