3932292761712 has 400 divisors, whose sum is σ = 13621699956000. Its totient is φ = 1084762119168.

The previous prime is 3932292761699. The next prime is 3932292761723. The reversal of 3932292761712 is 2171672922393.

3932292761712 is a `hidden beast` number, since 3 + 9 + 3 + 2 + 2 + 9 + 2 + 7 + 617 + 12 = 666.

3932292761712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30014364 + ... + 30145092.

It is an arithmetic number, because the mean of its divisors is an integer number (34054249890).

Almost surely, 2^{3932292761712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3932292761712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810849978000).

3932292761712 is an abundant number, since it is smaller than the sum of its proper divisors (9689407194288).

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

3932292761712 is a wasteful number, since it uses less digits than its factorization.

3932292761712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130803 (or 130770 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 3932292761712 in words is "three trillion, nine hundred thirty-two billion, two hundred ninety-two million, seven hundred sixty-one thousand, seven hundred twelve".