3740000040 has 320 divisors, whose sum is σ = 14514888960. Its totient is φ = 846028800.

The previous prime is 3740000027. The next prime is 3740000057. The reversal of 3740000040 is 400000473.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3739999968 and 3740000022.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2335240 + ... + 2336840.

It is an arithmetic number, because the mean of its divisors is an integer number (45359028).

Almost surely, 2^3740000040 is an apocalyptic number.

3740000040 is a gapful number since it is divisible by the number (30) 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 3740000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257444480).

3740000040 is an abundant number, since it is smaller than the sum of its proper divisors (10774888920).

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

3740000040 is a wasteful number, since it uses less digits than its factorization.

3740000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3740000040 is about 61155.5397327176. The cubic root of 3740000040 is about 1552.2340369154.

The spelling of 3740000040 in words is "three billion, seven hundred forty million, forty", and thus it is an aban number.