3773705040 has 240 divisors, whose sum is σ = 14983862400. Its totient is φ = 832785408.

The previous prime is 3773705027. The next prime is 3773705041. The reversal of 3773705040 is 405073773.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3773704986 and 3773705004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3773705041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133251 + ... + 159069.

It is an arithmetic number, because the mean of its divisors is an integer number (62432760).

Almost surely, 2^3773705040 is an apocalyptic number.

3773705040 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 3773705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491931200).

3773705040 is an abundant number, since it is smaller than the sum of its proper divisors (11210157360).

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

3773705040 is a wasteful number, since it uses less digits than its factorization.

3773705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25874 (or 25865 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 3773705040 is about 61430.4894982939. The cubic root of 3773705040 is about 1556.8830267421.

The spelling of 3773705040 in words is "three billion, seven hundred seventy-three million, seven hundred five thousand, forty".