3232984749840 has 640 divisors, whose sum is σ = 12218646528000. Its totient is φ = 782182932480.

The previous prime is 3232984749811. The next prime is 3232984749859. The reversal of 3232984749840 is 489474892323.

3232984749840 is a `hidden beast` number, since 3 + 2 + 3 + 29 + 84 + 7 + 498 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 299372761 + ... + 299383559.

It is an arithmetic number, because the mean of its divisors is an integer number (19091635200).

Almost surely, 2^{3232984749840} is an apocalyptic number.

3232984749840 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 3232984749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109323264000).

3232984749840 is an abundant number, since it is smaller than the sum of its proper divisors (8985661778160).

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

3232984749840 is a wasteful number, since it uses less digits than its factorization.

3232984749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3232984749840 in words is "three trillion, two hundred thirty-two billion, nine hundred eighty-four million, seven hundred forty-nine thousand, eight hundred forty".