3340633824 has 216 divisors, whose sum is σ = 11058269040. Its totient is φ = 952596480.

The previous prime is 3340633823. The next prime is 3340633847. The reversal of 3340633824 is 4283360433.

It is a super-2 number, since 2×3340633824² = 22319668692105725952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340633823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589597 + ... + 595235.

It is an arithmetic number, because the mean of its divisors is an integer number (51195690).

Almost surely, 2^3340633824 is an apocalyptic number.

3340633824 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 3340633824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529134520).

3340633824 is an abundant number, since it is smaller than the sum of its proper divisors (7717635216).

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

3340633824 is a wasteful number, since it uses less digits than its factorization.

3340633824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3340633824 is about 57798.2164430703. The cubic root of 3340633824 is about 1494.8913354500.

The spelling of 3340633824 in words is "three billion, three hundred forty million, six hundred thirty-three thousand, eight hundred twenty-four".