3351631920 has 640 divisors, whose sum is σ = 13859112960. Its totient is φ = 650280960.

The previous prime is 3351631903. The next prime is 3351631937. The reversal of 3351631920 is 291361533.

It is an interprime number because it is at equal distance from previous prime (3351631903) and next prime (3351631937).

It is a super-3 number, since 3×3351631920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17013262 + ... + 17013458.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^3351631920 is an apocalyptic number.

3351631920 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 3351631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

3351631920 is an abundant number, since it is smaller than the sum of its proper divisors (10507481040).

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

3351631920 is a wasteful number, since it uses less digits than its factorization.

3351631920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 3351631920 is about 57893.2804390976. The cubic root of 3351631920 is about 1496.5300413365.

The spelling of 3351631920 in words is "three billion, three hundred fifty-one million, six hundred thirty-one thousand, nine hundred twenty".