3716935040 has 256 divisors, whose sum is σ = 11515392000. Its totient is φ = 1114103808.

The previous prime is 3716935039. The next prime is 3716935049. The reversal of 3716935040 is 405396173.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 3716934985 and 3716935003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3716935049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104881 + ... + 1108239.

It is an arithmetic number, because the mean of its divisors is an integer number (44982000).

Almost surely, 2^3716935040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3716935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757696000).

3716935040 is an abundant number, since it is smaller than the sum of its proper divisors (7798456960).

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

3716935040 is a wasteful number, since it uses less digits than its factorization.

3716935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 3716935040 is about 60966.6715509384. The cubic root of 3716935040 is about 1549.0365208930.

The spelling of 3716935040 in words is "three billion, seven hundred sixteen million, nine hundred thirty-five thousand, forty".