3780558824832 has 1024 divisors, whose sum is σ = 12236749056000. Its totient is φ = 1146445332480.

The previous prime is 3780558824789. The next prime is 3780558824851. The reversal of 3780558824832 is 2384288550873.

It is a happy number.

3780558824832 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 5 + 588 + 2 + 48 + 3 + 2 = 666.

It is a super-2 number, since 2×3780558824832² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3780558824832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21852941098 + ... + 21852941270.

It is an arithmetic number, because the mean of its divisors is an integer number (11949950250).

Almost surely, 2^{3780558824832} is an apocalyptic number.

3780558824832 is a gapful number since it is divisible by the number (32) 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 3780558824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118374528000).

3780558824832 is an abundant number, since it is smaller than the sum of its proper divisors (8456190231168).

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

3780558824832 is a wasteful number, since it uses less digits than its factorization.

3780558824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 3780558824832 in words is "three trillion, seven hundred eighty billion, five hundred fifty-eight million, eight hundred twenty-four thousand, eight hundred thirty-two".