3226262400 has 384 divisors, whose sum is σ = 11978920800. Its totient is φ = 858470400.

The previous prime is 3226262399. The next prime is 3226262461. The reversal of 3226262400 is 42626223.

3226262400 is a `hidden beast` number, since 32 + 2 + 6 + 2 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6998170 + ... + 6998630.

Almost surely, 2^3226262400 is an apocalyptic number.

3226262400 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 3226262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989460400).

3226262400 is an abundant number, since it is smaller than the sum of its proper divisors (8752658400).

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

3226262400 is an frugal number, since it uses more digits than its factorization.

3226262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3226262400 is about 56800.1971827563. The cubic root of 3226262400 is about 1477.6329340054.

Adding to 3226262400 its reverse (42626223), we get a palindrome (3268888623).

The spelling of 3226262400 in words is "three billion, two hundred twenty-six million, two hundred sixty-two thousand, four hundred".