3702000040 has 64 divisors (see below), whose sum is σ = 8450956800. Its totient is φ = 1459281408.

The previous prime is 3702000037. The next prime is 3702000041. The reversal of 3702000040 is 400002073.

It is a junction number, because it is equal to n+sod(n) for n = 3701999978 and 3702000023.

It is not an unprimeable number, because it can be changed into a prime (3702000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707437 + ... + 2708803.

It is an arithmetic number, because the mean of its divisors is an integer number (132046200).

Almost surely, 2^3702000040 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 3702000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225478400).

3702000040 is an abundant number, since it is smaller than the sum of its proper divisors (4748956760).

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

3702000040 is a wasteful number, since it uses less digits than its factorization.

3702000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 3702000040 is about 60844.0633094142. The cubic root of 3702000040 is about 1546.9590102943.

The spelling of 3702000040 in words is "three billion, seven hundred two million, forty", and thus it is an aban number.