3503684681640 has 1536 divisors, whose sum is σ = 15198742540800. Its totient is φ = 712336343040.

The previous prime is 3503684681633. The next prime is 3503684681659. The reversal of 3503684681640 is 461864863053.

3503684681640 is a `hidden beast` number, since 3 + 503 + 6 + 84 + 6 + 8 + 16 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 685247724 + ... + 685252836.

It is an arithmetic number, because the mean of its divisors is an integer number (9895014675).

Almost surely, 2^{3503684681640} is an apocalyptic number.

3503684681640 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 3503684681640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599371270400).

3503684681640 is an abundant number, since it is smaller than the sum of its proper divisors (11695057859160).

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

3503684681640 is a wasteful number, since it uses less digits than its factorization.

3503684681640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3503684681640 in words is "three trillion, five hundred three billion, six hundred eighty-four million, six hundred eighty-one thousand, six hundred forty".