3937820832 has 288 divisors, whose sum is σ = 13340920320. Its totient is φ = 1130008320.

The previous prime is 3937820797. The next prime is 3937820839. The reversal of 3937820832 is 2380287393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937820839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623973 + ... + 1626395.

It is an arithmetic number, because the mean of its divisors is an integer number (46322640).

Almost surely, 2^3937820832 is an apocalyptic number.

3937820832 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 3937820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670460160).

3937820832 is an abundant number, since it is smaller than the sum of its proper divisors (9403099488).

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

3937820832 is a wasteful number, since it uses less digits than its factorization.

3937820832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3937820832 is about 62752.0583885501. The cubic root of 3937820832 is about 1579.1327869325.

The spelling of 3937820832 in words is "three billion, nine hundred thirty-seven million, eight hundred twenty thousand, eight hundred thirty-two".