3430413000 has 384 divisors, whose sum is σ = 14035057920. Its totient is φ = 737740800.

The previous prime is 3430412977. The next prime is 3430413001. The reversal of 3430413000 is 3140343.

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

It is not an unprimeable number, because it can be changed into a prime (3430413001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1069399 + ... + 1072601.

It is an arithmetic number, because the mean of its divisors is an integer number (36549630).

Almost surely, 2^3430413000 is an apocalyptic number.

3430413000 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 3430413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017528960).

3430413000 is an abundant number, since it is smaller than the sum of its proper divisors (10604644920).

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

3430413000 is a wasteful number, since it uses less digits than its factorization.

3430413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3430413000 is about 58569.7276756517. The cubic root of 3430413000 is about 1508.1648099486.

Adding to 3430413000 its reverse (3140343), we get a palindrome (3433553343).

The spelling of 3430413000 in words is "three billion, four hundred thirty million, four hundred thirteen thousand".