3257505939072 has 768 divisors, whose sum is σ = 11770616954880. Its totient is φ = 774736773120.

The previous prime is 3257505939067. The next prime is 3257505939113. The reversal of 3257505939072 is 2709395057523.

It is a super-2 number, since 2×3257505939072² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316165473 + ... + 316175775.

It is an arithmetic number, because the mean of its divisors is an integer number (15326324160).

Almost surely, 2^{3257505939072} is an apocalyptic number.

3257505939072 is a gapful number since it is divisible by the number (32) 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 3257505939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885308477440).

3257505939072 is an abundant number, since it is smaller than the sum of its proper divisors (8513111015808).

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

3257505939072 is a wasteful number, since it uses less digits than its factorization.

3257505939072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 17860500, while the sum is 57.

The spelling of 3257505939072 in words is "three trillion, two hundred fifty-seven billion, five hundred five million, nine hundred thirty-nine thousand, seventy-two".