3534403783680 has 1408 divisors, whose sum is σ = 16166680657920. Its totient is φ = 710664192000.

The previous prime is 3534403783639. The next prime is 3534403783697. The reversal of 3534403783680 is 863873044353.

3534403783680 is a `hidden beast` number, since 3 + 53 + 440 + 3 + 78 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329973525 + ... + 329984235.

Almost surely, 2^{3534403783680} is an apocalyptic number.

3534403783680 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 3534403783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083340328960).

3534403783680 is an abundant number, since it is smaller than the sum of its proper divisors (12632276874240).

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

3534403783680 is a wasteful number, since it uses less digits than its factorization.

3534403783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10794 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3534403783680 in words is "three trillion, five hundred thirty-four billion, four hundred three million, seven hundred eighty-three thousand, six hundred eighty".