3214836900 has 324 divisors, whose sum is σ = 11305315476. Its totient is φ = 763276800.

The previous prime is 3214836851. The next prime is 3214836943. The reversal of 3214836900 is 96384123.

It can be written as a sum of positive squares in 6 ways, for example, as 228432996 + 2986403904 = 15114^2 + 54648^2 .

It is a super-2 number, since 2×3214836900² = 20670352587203220000, which contains 22 as substring.

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

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 107 ways as a sum of consecutive naturals, for example, 5771422 + ... + 5771978.

It is an arithmetic number, because the mean of its divisors is an integer number (34892949).

Almost surely, 2^3214836900 is an apocalyptic number.

3214836900 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 3214836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652657738).

3214836900 is an abundant number, since it is smaller than the sum of its proper divisors (8090478576).

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

3214836900 is a wasteful number, since it uses less digits than its factorization.

3214836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 631 counting only the distinct ones).

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

The square root of 3214836900 is about 56699.5317440982. The cubic root of 3214836900 is about 1475.8865722428.

The spelling of 3214836900 in words is "three billion, two hundred fourteen million, eight hundred thirty-six thousand, nine hundred".