3783003926240 has 576 divisors, whose sum is σ = 12178270798848. Its totient is φ = 1094097715200.

The previous prime is 3783003926173. The next prime is 3783003926243. The reversal of 3783003926240 is 426293003873.

It is a super-2 number, since 2×3783003926240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783003926243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104073509 + ... + 104109851.

It is an arithmetic number, because the mean of its divisors is an integer number (21142831248).

Almost surely, 2^{3783003926240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783003926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089135399424).

3783003926240 is an abundant number, since it is smaller than the sum of its proper divisors (8395266872608).

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

3783003926240 is a wasteful number, since it uses less digits than its factorization.

3783003926240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36471 (or 36456 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 47.

The spelling of 3783003926240 in words is "three trillion, seven hundred eighty-three billion, three million, nine hundred twenty-six thousand, two hundred forty".