3743031040 has 288 divisors, whose sum is σ = 10977555456. Its totient is φ = 1194885120.

The previous prime is 3743031007. The next prime is 3743031067. The reversal of 3743031040 is 401303473.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3743030996 and 3743031014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8449059 + ... + 8449501.

It is an arithmetic number, because the mean of its divisors is an integer number (38116512).

Almost surely, 2^3743031040 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 3743031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488777728).

3743031040 is an abundant number, since it is smaller than the sum of its proper divisors (7234524416).

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

3743031040 is a wasteful number, since it uses less digits than its factorization.

3743031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 3743031040 is about 61180.3157886587. The cubic root of 3743031040 is about 1552.6532482269.

The spelling of 3743031040 in words is "three billion, seven hundred forty-three million, thirty-one thousand, forty".