3791212992 has 448 divisors, whose sum is σ = 13454115840. Its totient is φ = 1024192512.

The previous prime is 3791212991. The next prime is 3791213003. The reversal of 3791212992 is 2992121973.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791212991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19244638 + ... + 19244834.

Almost surely, 2^3791212992 is an apocalyptic number.

3791212992 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 3791212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727057920).

3791212992 is an abundant number, since it is smaller than the sum of its proper divisors (9662902848).

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

3791212992 is a wasteful number, since it uses less digits than its factorization.

3791212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 3791212992 is about 61572.8267338767. The cubic root of 3791212992 is about 1559.2870114607.

The spelling of 3791212992 in words is "three billion, seven hundred ninety-one million, two hundred twelve thousand, nine hundred ninety-two".