3750757770240 has 528 divisors, whose sum is σ = 14079188214000. Its totient is φ = 923238531072.

The previous prime is 3750757770203. The next prime is 3750757770257. The reversal of 3750757770240 is 420777570573.

It can be written as a sum of positive squares in 8 ways, for example, as 3369486099456 + 381271670784 = 1835616^2 + 617472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101219236 + ... + 101256284.

Almost surely, 2^{3750757770240} is an apocalyptic number.

3750757770240 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 3750757770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039594107000).

3750757770240 is an abundant number, since it is smaller than the sum of its proper divisors (10328430443760).

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

3750757770240 is a wasteful number, since it uses less digits than its factorization.

3750757770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37119 (or 37072 counting only the distinct ones).

The product of its (nonzero) digits is 10084200, while the sum is 54.

The spelling of 3750757770240 in words is "three trillion, seven hundred fifty billion, seven hundred fifty-seven million, seven hundred seventy thousand, two hundred forty".