3753987204240 has 2400 divisors, whose sum is σ = 17597862352224. Its totient is φ = 732402155520.

The previous prime is 3753987204217. The next prime is 3753987204277. The reversal of 3753987204240 is 424027893573.

It is a happy number.

3753987204240 is a `hidden beast` number, since 3 + 7 + 5 + 398 + 7 + 2 + 0 + 4 + 240 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1283670872064 + 2470316332176 = 1132992^2 + 1571724^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4280486682 + ... + 4280487558.

Almost surely, 2^{3753987204240} is an apocalyptic number.

3753987204240 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 3753987204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798931176112).

3753987204240 is an abundant number, since it is smaller than the sum of its proper divisors (13843875147984).

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

3753987204240 is a wasteful number, since it uses less digits than its factorization.

3753987204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3753987204240 in words is "three trillion, seven hundred fifty-three billion, nine hundred eighty-seven million, two hundred four thousand, two hundred forty".