3400023000 has 256 divisors, whose sum is σ = 11653424640. Its totient is φ = 818496000.

The previous prime is 3400022903. The next prime is 3400023007. The reversal of 3400023000 is 3200043.

3400023000 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400023007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6500739 + ... + 6501261.

It is an arithmetic number, because the mean of its divisors is an integer number (45521190).

Almost surely, 2^3400023000 is an apocalyptic number.

3400023000 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 3400023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826712320).

3400023000 is an abundant number, since it is smaller than the sum of its proper divisors (8253401640).

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

3400023000 is a wasteful number, since it uses less digits than its factorization.

3400023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3400023000 is about 58309.7161714924. The cubic root of 3400023000 is about 1503.6979868812.

Adding to 3400023000 its reverse (3200043), we get a palindrome (3403223043).

The spelling of 3400023000 in words is "three billion, four hundred million, twenty-three thousand".