3285246623520 has 192 divisors, whose sum is σ = 10446737495040. Its totient is φ = 867756699648.

The previous prime is 3285246623489. The next prime is 3285246623531. The reversal of 3285246623520 is 253266425823.

It is a happy number.

It is a super-3 number, since 3×3285246623520³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3285246623520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209952337 + ... + 209967983.

It is an arithmetic number, because the mean of its divisors is an integer number (54410091120).

Almost surely, 2^{3285246623520} is an apocalyptic number.

3285246623520 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 3285246623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223368747520).

3285246623520 is an abundant number, since it is smaller than the sum of its proper divisors (7161490871520).

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

3285246623520 is a wasteful number, since it uses less digits than its factorization.

3285246623520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787 (or 19779 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 3285246623520 in words is "three trillion, two hundred eighty-five billion, two hundred forty-six million, six hundred twenty-three thousand, five hundred twenty".