3226006625400 has 432 divisors, whose sum is σ = 11762552505600. Its totient is φ = 791991982080.

The previous prime is 3226006625383. The next prime is 3226006625437. The reversal of 3226006625400 is 45266006223.

3226006625400 is a `hidden beast` number, since 3 + 2 + 2 + 600 + 6 + 6 + 2 + 5 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 116494756 + ... + 116522444.

It is an arithmetic number, because the mean of its divisors is an integer number (27228130800).

Almost surely, 2^{3226006625400} is an apocalyptic number.

3226006625400 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 3226006625400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881276252800).

3226006625400 is an abundant number, since it is smaller than the sum of its proper divisors (8536545880200).

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

3226006625400 is a wasteful number, since it uses less digits than its factorization.

3226006625400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28120 (or 28095 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3226006625400 in words is "three trillion, two hundred twenty-six billion, six million, six hundred twenty-five thousand, four hundred".