3430898016 has 192 divisors, whose sum is σ = 11122288128. Its totient is φ = 901767168.

The previous prime is 3430897913. The next prime is 3430898033. The reversal of 3430898016 is 6108980343.

It is a happy number.

It is a super-2 number, since 2×3430898016² = 23542122392385472512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3782235 + ... + 3783141.

It is an arithmetic number, because the mean of its divisors is an integer number (57928584).

Almost surely, 2^3430898016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430898016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561144064).

3430898016 is an abundant number, since it is smaller than the sum of its proper divisors (7691390112).

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

3430898016 is a wasteful number, since it uses less digits than its factorization.

3430898016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3430898016 is about 58573.8680300354. The cubic root of 3430898016 is about 1508.2358849273.

The spelling of 3430898016 in words is "three billion, four hundred thirty million, eight hundred ninety-eight thousand, sixteen".