4038746712 has 768 divisors, whose sum is σ = 15444172800. Its totient is φ = 851558400.

The previous prime is 4038746693. The next prime is 4038746713. The reversal of 4038746712 is 2176478304.

It is a super-2 number, since 2×4038746712² = 32622950007381621888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038746713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130282137 + ... + 130282167.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 2^4038746712 is an apocalyptic number.

4038746712 is a gapful number since it is divisible by the number (42) 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 4038746712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

4038746712 is an abundant number, since it is smaller than the sum of its proper divisors (11405426088).

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

4038746712 is a wasteful number, since it uses less digits than its factorization.

4038746712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 4038746712 is about 63551.1346240175. The cubic root of 4038746712 is about 1592.5101382325.

The spelling of 4038746712 in words is "four billion, thirty-eight million, seven hundred forty-six thousand, seven hundred twelve".