3430918920 has 512 divisors, whose sum is σ = 13499136000. Its totient is φ = 683458560.

The previous prime is 3430918913. The next prime is 3430918957. The reversal of 3430918920 is 298190343.

It is a super-2 number, since 2×3430918920² = 23542409271227932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 5542371 + ... + 5542989.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 2^3430918920 is an apocalyptic number.

3430918920 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 3430918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568000).

3430918920 is an abundant number, since it is smaller than the sum of its proper divisors (10068217080).

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

3430918920 is a wasteful number, since it uses less digits than its factorization.

3430918920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3430918920 is about 58574.0464711121. The cubic root of 3430918920 is about 1508.2389480805.

The spelling of 3430918920 in words is "three billion, four hundred thirty million, nine hundred eighteen thousand, nine hundred twenty".