3712743936 has 240 divisors, whose sum is σ = 11835046080. Its totient is φ = 1111080960.

The previous prime is 3712743929. The next prime is 3712743959. The reversal of 3712743936 is 6393472173.

It is a happy number.

3712743936 is a `hidden beast` number, since 371 + 274 + 3 + 9 + 3 + 6 = 666.

3712743936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3712743891 and 3712743900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4510821 + ... + 4511643.

It is an arithmetic number, because the mean of its divisors is an integer number (49312692).

Almost surely, 2^3712743936 is an apocalyptic number.

3712743936 is a gapful number since it is divisible by the number (36) 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 3712743936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917523040).

3712743936 is an abundant number, since it is smaller than the sum of its proper divisors (8122302144).

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

3712743936 is a wasteful number, since it uses less digits than its factorization.

3712743936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3712743936 is about 60932.2897649514. The cubic root of 3712743936 is about 1548.4540862845.

The spelling of 3712743936 in words is "three billion, seven hundred twelve million, seven hundred forty-three thousand, nine hundred thirty-six".