3285635078376 has 512 divisors, whose sum is σ = 10876013568000. Its totient is φ = 899565004800.

The previous prime is 3285635078351. The next prime is 3285635078377. The reversal of 3285635078376 is 6738705365823.

It is a happy number.

3285635078376 is a `hidden beast` number, since 3 + 2 + 8 + 56 + 3 + 507 + 8 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3285635078377) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1748607405 + ... + 1748609283.

It is an arithmetic number, because the mean of its divisors is an integer number (21242214000).

Almost surely, 2^{3285635078376} is an apocalyptic number.

3285635078376 is a gapful number since it is divisible by the number (36) 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 3285635078376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438006784000).

3285635078376 is an abundant number, since it is smaller than the sum of its proper divisors (7590378489624).

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

3285635078376 is a wasteful number, since it uses less digits than its factorization.

3285635078376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 3285635078376 in words is "three trillion, two hundred eighty-five billion, six hundred thirty-five million, seventy-eight thousand, three hundred seventy-six".