3553483688352 has 1152 divisors, whose sum is σ = 12490667804160. Its totient is φ = 983224811520.

The previous prime is 3553483688341. The next prime is 3553483688371. The reversal of 3553483688352 is 2538863843553.

3553483688352 is a `hidden beast` number, since 3 + 5 + 534 + 8 + 3 + 68 + 8 + 35 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3553483688352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5631511077 + ... + 5631511707.

It is an arithmetic number, because the mean of its divisors is an integer number (10842593580).

Almost surely, 2^{3553483688352} is an apocalyptic number.

3553483688352 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 3553483688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245333902080).

3553483688352 is an abundant number, since it is smaller than the sum of its proper divisors (8937184115808).

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

3553483688352 is a wasteful number, since it uses less digits than its factorization.

3553483688352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 808 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 63.

The spelling of 3553483688352 in words is "three trillion, five hundred fifty-three billion, four hundred eighty-three million, six hundred eighty-eight thousand, three hundred fifty-two".