4034030000 has 600 divisors, whose sum is σ = 13610843136. Its totient is φ = 1123200000.

The previous prime is 4034029927. The next prime is 4034030003. The reversal of 4034030000 is 304304.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (4034030003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130129985 + ... + 130130015.

Almost surely, 2^4034030000 is an apocalyptic number.

4034030000 is a gapful number since it is divisible by the number (40) 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 4034030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805421568).

4034030000 is an abundant number, since it is smaller than the sum of its proper divisors (9576813136).

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

4034030000 is a wasteful number, since it uses less digits than its factorization.

4034030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4034030000 is about 63514.0142015918. The cubic root of 4034030000 is about 1591.8899509798.

Adding to 4034030000 its reverse (304304), we get a palindrome (4034334304).

It can be divided in two parts, 403 and 4030000, that multiplied together give a square (1624090000 = 40300²).

The spelling of 4034030000 in words is "four billion, thirty-four million, thirty thousand", and thus it is an eban number.