3780035098560 has 1008 divisors, whose sum is σ = 15454215402912. Its totient is φ = 845365248000.

The previous prime is 3780035098537. The next prime is 3780035098577. The reversal of 3780035098560 is 658905300873.

It is a happy number.

3780035098560 is a `hidden beast` number, since 3 + 7 + 80 + 0 + 3 + 509 + 8 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 3780035098497 and 3780035098506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1349529160 + ... + 1349531960.

Almost surely, 2^{3780035098560} is an apocalyptic number.

3780035098560 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 3780035098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727107701456).

3780035098560 is an abundant number, since it is smaller than the sum of its proper divisors (11674180304352).

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

3780035098560 is a wasteful number, since it uses less digits than its factorization.

3780035098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3780035098560 in words is "three trillion, seven hundred eighty billion, thirty-five million, ninety-eight thousand, five hundred sixty".