3262428683136 has 256 divisors, whose sum is σ = 11272622860800. Its totient is φ = 909387509760.

The previous prime is 3262428683099. The next prime is 3262428683201. The reversal of 3262428683136 is 6313868242623.

3262428683136 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 428 + 6 + 83 + 136 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 652710 + ... + 2636453.

It is an arithmetic number, because the mean of its divisors is an integer number (44033683050).

Almost surely, 2^{3262428683136} is an apocalyptic number.

3262428683136 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 3262428683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636311430400).

3262428683136 is an abundant number, since it is smaller than the sum of its proper divisors (8010194177664).

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

3262428683136 is a wasteful number, since it uses less digits than its factorization.

3262428683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289234 (or 3289216 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 3262428683136 in words is "three trillion, two hundred sixty-two billion, four hundred twenty-eight million, six hundred eighty-three thousand, one hundred thirty-six".