3744956736 has 168 divisors, whose sum is σ = 11172066048. Its totient is φ = 1198080000.

The previous prime is 3744956723. The next prime is 3744956749. The reversal of 3744956736 is 6376594473.

It is a happy number.

3744956736 is a `hidden beast` number, since 3 + 7 + 4 + 49 + 567 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (3744956723) and next prime (3744956749).

It is a congruent number.

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, 2338336 + ... + 2339936.

Almost surely, 2^3744956736 is an apocalyptic number.

3744956736 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 3744956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586033024).

3744956736 is an abundant number, since it is smaller than the sum of its proper divisors (7427109312).

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

3744956736 is a wasteful number, since it uses less digits than its factorization.

3744956736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1768 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The square root of 3744956736 is about 61196.0516373401. The cubic root of 3744956736 is about 1552.9194696852.

The spelling of 3744956736 in words is "three billion, seven hundred forty-four million, nine hundred fifty-six thousand, seven hundred thirty-six".