3212006400 has 330 divisors, whose sum is σ = 11901360350. Its totient is φ = 855982080.

The previous prime is 3212006383. The next prime is 3212006431. The reversal of 3212006400 is 46002123.

It is a happy number.

3212006400 is a `hidden beast` number, since 3 + 2 + 1 + 20 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 90326016 + 3121680384 = 9504^2 + 55872^2 .

It is a super-2 number, since 2×3212006400² = 20633970227281920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2072826 + ... + 2074374.

Almost surely, 2^3212006400 is an apocalyptic number.

3212006400 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 3212006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950680175).

3212006400 is an abundant number, since it is smaller than the sum of its proper divisors (8689353950).

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

3212006400 is a wasteful number, since it uses less digits than its factorization.

3212006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3212006400 is about 56674.5657239647. The cubic root of 3212006400 is about 1475.4532974301.

Adding to 3212006400 its reverse (46002123), we get a palindrome (3258008523).

The spelling of 3212006400 in words is "three billion, two hundred twelve million, six thousand, four hundred".