3328799040 has 336 divisors, whose sum is σ = 13178625408. Its totient is φ = 755453952.

The previous prime is 3328799021. The next prime is 3328799081. The reversal of 3328799040 is 409978233.

It is a happy number.

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

It is a super-2 number, since 2×3328799040² = 22161806097409843200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3285574 + ... + 3286586.

Almost surely, 2^3328799040 is an apocalyptic number.

3328799040 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 3328799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589312704).

3328799040 is an abundant number, since it is smaller than the sum of its proper divisors (9849826368).

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

3328799040 is a wasteful number, since it uses less digits than its factorization.

3328799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3328799040 is about 57695.7454237312. The cubic root of 3328799040 is about 1493.1239413750.

The spelling of 3328799040 in words is "three billion, three hundred twenty-eight million, seven hundred ninety-nine thousand, forty".