3302953920 has 336 divisors, whose sum is σ = 13668695040. Its totient is φ = 715143168.

The previous prime is 3302953909. The next prime is 3302953963. The reversal of 3302953920 is 293592033.

3302953920 is a `hidden beast` number, since 330 + 295 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378729 + ... + 387351.

It is an arithmetic number, because the mean of its divisors is an integer number (40680640).

Almost surely, 2^3302953920 is an apocalyptic number.

3302953920 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 3302953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834347520).

3302953920 is an abundant number, since it is smaller than the sum of its proper divisors (10365741120).

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

3302953920 is a wasteful number, since it uses less digits than its factorization.

3302953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8672 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3302953920 is about 57471.3312878691. The cubic root of 3302953920 is about 1489.2496439589.

The spelling of 3302953920 in words is "three billion, three hundred two million, nine hundred fifty-three thousand, nine hundred twenty".