3257399994240 has 512 divisors, whose sum is σ = 12498410880000. Its totient is φ = 704931102720.

The previous prime is 3257399994179. The next prime is 3257399994283. The reversal of 3257399994240 is 424999937523.

3257399994240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3257399994240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 597795036 + ... + 597800484.

It is an arithmetic number, because the mean of its divisors is an integer number (24410958750).

Almost surely, 2^{3257399994240} is an apocalyptic number.

3257399994240 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 3257399994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249205440000).

3257399994240 is an abundant number, since it is smaller than the sum of its proper divisors (9241010885760).

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

3257399994240 is a wasteful number, since it uses less digits than its factorization.

3257399994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 66.

The spelling of 3257399994240 in words is "three trillion, two hundred fifty-seven billion, three hundred ninety-nine million, nine hundred ninety-four thousand, two hundred forty".