3227958397440 has 1600 divisors, whose sum is σ = 14236985917440. Its totient is φ = 682755194880.

The previous prime is 3227958397439. The next prime is 3227958397459. The reversal of 3227958397440 is 447938597223.

3227958397440 is a `hidden beast` number, since 3 + 2 + 2 + 7 + 9 + 583 + 9 + 7 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1034932201 + ... + 1034935319.

Almost surely, 2^{3227958397440} is an apocalyptic number.

3227958397440 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 3227958397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118492958720).

3227958397440 is an abundant number, since it is smaller than the sum of its proper divisors (11009027520000).

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

3227958397440 is a wasteful number, since it uses less digits than its factorization.

3227958397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3227958397440 in words is "three trillion, two hundred twenty-seven billion, nine hundred fifty-eight million, three hundred ninety-seven thousand, four hundred forty".