3753041040 has 800 divisors, whose sum is σ = 16385808384. Its totient is φ = 776355840.

The previous prime is 3753041011. The next prime is 3753041051. The reversal of 3753041040 is 401403573.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3753040995 and 3753041013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23904642 + ... + 23904798.

Almost surely, 2^3753041040 is an apocalyptic number.

3753041040 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 3753041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192904192).

3753041040 is an abundant number, since it is smaller than the sum of its proper divisors (12632767344).

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

3753041040 is a wasteful number, since it uses less digits than its factorization.

3753041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3753041040 is about 61262.0685253118. The cubic root of 3753041040 is about 1554.0361047648.

The spelling of 3753041040 in words is "three billion, seven hundred fifty-three million, forty-one thousand, forty".