3332689920 has 780 divisors, whose sum is σ = 14236318404. Its totient is φ = 743178240.

The previous prime is 3332689901. The next prime is 3332689967. The reversal of 3332689920 is 299862333.

It can be written as a sum of positive squares in 2 ways, for example, as 585252864 + 2747437056 = 24192^2 + 52416^2 .

It is a super-2 number, since 2×3332689920² = 22213644205739212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81285100 + ... + 81285140.

Almost surely, 2^3332689920 is an apocalyptic number.

3332689920 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 3332689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118159202).

3332689920 is an abundant number, since it is smaller than the sum of its proper divisors (10903628484).

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

3332689920 is an equidigital number, since it uses as much as digits as its factorization.

3332689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3332689920 is about 57729.4545271303. The cubic root of 3332689920 is about 1493.7054628155.

The spelling of 3332689920 in words is "three billion, three hundred thirty-two million, six hundred eighty-nine thousand, nine hundred twenty".