3328149024 has 144 divisors (see below), whose sum is σ = 10076451840. Its totient is φ = 1038366720.

The previous prime is 3328148987. The next prime is 3328149031. The reversal of 3328149024 is 4209418233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3328149024² = 22153151851904305152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3328149024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933357 + ... + 936915.

It is an arithmetic number, because the mean of its divisors is an integer number (69975360).

Almost surely, 2^3328149024 is an apocalyptic number.

3328149024 is a gapful number since it is divisible by the number (34) 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 3328149024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038225920).

3328149024 is an abundant number, since it is smaller than the sum of its proper divisors (6748302816).

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

3328149024 is a wasteful number, since it uses less digits than its factorization.

3328149024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3328149024 is about 57690.1120123718. The cubic root of 3328149024 is about 1493.0267474000.

The spelling of 3328149024 in words is "three billion, three hundred twenty-eight million, one hundred forty-nine thousand, twenty-four".