3701433744 has 60 divisors (see below), whose sum is σ = 10388361516. Its totient is φ = 1230299136.

The previous prime is 3701433739. The next prime is 3701433761. The reversal of 3701433744 is 4473341073.

It can be written as a sum of positive squares in 2 ways, for example, as 1665619344 + 2035814400 = 40812^2 + 45120^2 .

It is a super-3 number, since 3×3701433744³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3701433699 and 3701433708.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14424 + ... + 87240.

Almost surely, 2^3701433744 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 3701433744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194180758).

3701433744 is an abundant number, since it is smaller than the sum of its proper divisors (6686927772).

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

3701433744 is a wasteful number, since it uses less digits than its factorization.

3701433744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73184 (or 73175 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3701433744 is about 60839.4094645896. The cubic root of 3701433744 is about 1546.8801266852.

The spelling of 3701433744 in words is "three billion, seven hundred one million, four hundred thirty-three thousand, seven hundred forty-four".