3932581251072 has 384 divisors, whose sum is σ = 10961217146880. Its totient is φ = 1252441128960.

The previous prime is 3932581251059. The next prime is 3932581251089. The reversal of 3932581251072 is 2701521852393.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3932581251072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6115989183 + ... + 6115989825.

It is an arithmetic number, because the mean of its divisors is an integer number (28544836320).

Almost surely, 2^{3932581251072} is an apocalyptic number.

3932581251072 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 3932581251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480608573440).

3932581251072 is an abundant number, since it is smaller than the sum of its proper divisors (7028635895808).

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

3932581251072 is a wasteful number, since it uses less digits than its factorization.

3932581251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 3932581251072 in words is "three trillion, nine hundred thirty-two billion, five hundred eighty-one million, two hundred fifty-one thousand, seventy-two".