3132213420 has 96 divisors (see below), whose sum is σ = 10126545408. Its totient is φ = 708544512.

The previous prime is 3132213397. The next prime is 3132213437. The reversal of 3132213420 is 243122313.

3132213420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3132213420³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299 + ... + 79181.

It is an arithmetic number, because the mean of its divisors is an integer number (105484848).

Almost surely, 2^3132213420 is an apocalyptic number.

3132213420 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 3132213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063272704).

3132213420 is an abundant number, since it is smaller than the sum of its proper divisors (6994331988).

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

3132213420 is a wasteful number, since it uses less digits than its factorization.

3132213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76999 (or 76997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3132213420 is about 55966.1810381948. The cubic root of 3132213420 is about 1463.1329202976.

Adding to 3132213420 its reverse (243122313), we get a palindrome (3375335733).

The spelling of 3132213420 in words is "three billion, one hundred thirty-two million, two hundred thirteen thousand, four hundred twenty".