3214909440 has 672 divisors, whose sum is σ = 12880969920. Its totient is φ = 764411904.

The previous prime is 3214909429. The next prime is 3214909471. The reversal of 3214909440 is 449094123.

It is a super-2 number, since 2×3214909440² = 20671285414802227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3214909395 and 3214909404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169205751 + ... + 169205769.

It is an arithmetic number, because the mean of its divisors is an integer number (19168110).

Almost surely, 2^3214909440 is an apocalyptic number.

3214909440 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 3214909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440484960).

3214909440 is an abundant number, since it is smaller than the sum of its proper divisors (9666060480).

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

3214909440 is an equidigital number, since it uses as much as digits as its factorization.

3214909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3214909440 is about 56700.1714283123. The cubic root of 3214909440 is about 1475.8976728585.

The spelling of 3214909440 in words is "three billion, two hundred fourteen million, nine hundred nine thousand, four hundred forty".