3918730752 has 140 divisors (see below), whose sum is σ = 11740459500. Its totient is φ = 1306119168.

The previous prime is 3918730727. The next prime is 3918730769. The reversal of 3918730752 is 2570378193.

It is a happy number.

It is a super-3 number, since 3×3918730752³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3918730698 and 3918730707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 367999 + ... + 378497.

It is an arithmetic number, because the mean of its divisors is an integer number (83860425).

Almost surely, 2^3918730752 is an apocalyptic number.

3918730752 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 3918730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870229750).

3918730752 is an abundant number, since it is smaller than the sum of its proper divisors (7821728748).

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

3918730752 is an frugal number, since it uses more digits than its factorization.

3918730752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3918730752 is about 62599.7663893405. The cubic root of 3918730752 is about 1576.5768371233.

The spelling of 3918730752 in words is "three billion, nine hundred eighteen million, seven hundred thirty thousand, seven hundred fifty-two".