3223951482240 has 384 divisors, whose sum is σ = 11756204085600. Its totient is φ = 811861180416.

The previous prime is 3223951482217. The next prime is 3223951482251. The reversal of 3223951482240 is 422841593223.

3223951482240 is a `hidden beast` number, since 3 + 2 + 2 + 39 + 514 + 82 + 24 + 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 (45).

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, 34207662 + ... + 34301778.

Almost surely, 2^{3223951482240} is an apocalyptic number.

3223951482240 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 3223951482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878102042800).

3223951482240 is an abundant number, since it is smaller than the sum of its proper divisors (8532252603360).

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

3223951482240 is a wasteful number, since it uses less digits than its factorization.

3223951482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94474 (or 94459 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3223951482240 in words is "three trillion, two hundred twenty-three billion, nine hundred fifty-one million, four hundred eighty-two thousand, two hundred forty".