3263626080 has 576 divisors, whose sum is σ = 13591888128. Its totient is φ = 729077760.

The previous prime is 3263626063. The next prime is 3263626081. The reversal of 3263626080 is 806263623.

3263626080 is a `hidden beast` number, since 3 + 26 + 3 + 626 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3263626081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559547 + ... + 5560133.

It is an arithmetic number, because the mean of its divisors is an integer number (23597028).

Almost surely, 2^3263626080 is an apocalyptic number.

3263626080 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 3263626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795944064).

3263626080 is an abundant number, since it is smaller than the sum of its proper divisors (10328262048).

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

3263626080 is a wasteful number, since it uses less digits than its factorization.

3263626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3263626080 is about 57128.1548800589. The cubic root of 3263626080 is about 1483.3152610964.

The spelling of 3263626080 in words is "three billion, two hundred sixty-three million, six hundred twenty-six thousand, eighty".