3222408401640 has 256 divisors, whose sum is σ = 10920622464000. Its totient is φ = 844976240640.

The previous prime is 3222408401623. The next prime is 3222408401671. The reversal of 3222408401640 is 461048042223.

3222408401640 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 4 + 0 + 8 + 4 + 0 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3222408401595 and 3222408401604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384669132 + ... + 384677508.

It is an arithmetic number, because the mean of its divisors is an integer number (42658681500).

Almost surely, 2^{3222408401640} is an apocalyptic number.

3222408401640 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 3222408401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460311232000).

3222408401640 is an abundant number, since it is smaller than the sum of its proper divisors (7698214062360).

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

3222408401640 is a wasteful number, since it uses less digits than its factorization.

3222408401640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14297 (or 14287 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3222408401640 in words is "three trillion, two hundred twenty-two billion, four hundred eight million, four hundred one thousand, six hundred forty".