3502780381440 has 720 divisors, whose sum is σ = 12895924478976. Its totient is φ = 911023718400.

The previous prime is 3502780381417. The next prime is 3502780381469. The reversal of 3502780381440 is 441830872053.

3502780381440 is a `hidden beast` number, since 3 + 50 + 2 + 7 + 80 + 3 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1032962145 + ... + 1032965535.

Almost surely, 2^{3502780381440} is an apocalyptic number.

3502780381440 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 3502780381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447962239488).

3502780381440 is an abundant number, since it is smaller than the sum of its proper divisors (9393144097536).

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

3502780381440 is an frugal number, since it uses more digits than its factorization.

3502780381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3502780381440 in words is "three trillion, five hundred two billion, seven hundred eighty million, three hundred eighty-one thousand, four hundred forty".