3326929920 has 528 divisors, whose sum is σ = 12691531008. Its totient is φ = 802160640.

The previous prime is 3326929901. The next prime is 3326929981. The reversal of 3326929920 is 299296233.

3326929920 is a `hidden beast` number, since 332 + 6 + 9 + 299 + 20 = 666.

It is a super-2 number, since 2×3326929920² = 22136925385182412800, 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 47 ways as a sum of consecutive naturals, for example, 24284092 + ... + 24284228.

Almost surely, 2^3326929920 is an apocalyptic number.

3326929920 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 3326929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345765504).

3326929920 is an abundant number, since it is smaller than the sum of its proper divisors (9364601088).

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

3326929920 is a wasteful number, since it uses less digits than its factorization.

3326929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3326929920 is about 57679.5450744889. The cubic root of 3326929920 is about 1492.8444261204.

The spelling of 3326929920 in words is "three billion, three hundred twenty-six million, nine hundred twenty-nine thousand, nine hundred twenty".