3783027306240 has 1728 divisors, whose sum is σ = 16428587535360. Its totient is φ = 787224821760.

The previous prime is 3783027306239. The next prime is 3783027306283. The reversal of 3783027306240 is 426037203873.

3783027306240 is a `hidden beast` number, since 3 + 7 + 83 + 0 + 27 + 306 + 240 = 666.

It is a super-2 number, since 2×3783027306240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23208756399 + ... + 23208756561.

Almost surely, 2^{3783027306240} is an apocalyptic number.

3783027306240 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 3783027306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214293767680).

3783027306240 is an abundant number, since it is smaller than the sum of its proper divisors (12645560229120).

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

3783027306240 is a wasteful number, since it uses less digits than its factorization.

3783027306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3783027306240 in words is "three trillion, seven hundred eighty-three billion, twenty-seven million, three hundred six thousand, two hundred forty".