3323973240 has 512 divisors, whose sum is σ = 13554432000. Its totient is φ = 707678208.

The previous prime is 3323973239. The next prime is 3323973241. The reversal of 3323973240 is 423793233.

It is a happy number.

3323973240 is a `hidden beast` number, since 3 + 323 + 9 + 7 + 324 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3323973239) and next prime (3323973241).

It is a super-2 number, since 2×3323973240² = 22097596200472195200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3323973195 and 3323973204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323973241) 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, 10485562 + ... + 10485878.

It is an arithmetic number, because the mean of its divisors is an integer number (26473500).

Almost surely, 2^3323973240 is an apocalyptic number.

3323973240 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 3323973240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777216000).

3323973240 is an abundant number, since it is smaller than the sum of its proper divisors (10230458760).

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

3323973240 is a wasteful number, since it uses less digits than its factorization.

3323973240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3323973240 is about 57653.9091476025. The cubic root of 3323973240 is about 1492.4020591775.

The spelling of 3323973240 in words is "three billion, three hundred twenty-three million, nine hundred seventy-three thousand, two hundred forty".