3262417920 has 264 divisors, whose sum is σ = 11453800176. Its totient is φ = 858488832.

The previous prime is 3262417913. The next prime is 3262417927. The reversal of 3262417920 is 297142623.

3262417920 is a `hidden beast` number, since 3 + 2 + 624 + 1 + 7 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3262417913) and next prime (3262417927).

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

It is not an unprimeable number, because it can be changed into a prime (3262417927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3824214 + ... + 3825066.

Almost surely, 2^3262417920 is an apocalyptic number.

3262417920 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 3262417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726900088).

3262417920 is an abundant number, since it is smaller than the sum of its proper divisors (8191382256).

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

3262417920 is a wasteful number, since it uses less digits than its factorization.

3262417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3262417920 is about 57117.5797806595. The cubic root of 3262417920 is about 1483.1322026104.

The spelling of 3262417920 in words is "three billion, two hundred sixty-two million, four hundred seventeen thousand, nine hundred twenty".