3300407640 has 256 divisors, whose sum is σ = 11467008000. Its totient is φ = 843333120.

The previous prime is 3300407639. The next prime is 3300407641. The reversal of 3300407640 is 467040033.

It is an interprime number because it is at equal distance from previous prime (3300407639) and next prime (3300407641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300407641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5230125 + ... + 5230755.

It is an arithmetic number, because the mean of its divisors is an integer number (44793000).

Almost surely, 2^3300407640 is an apocalyptic number.

3300407640 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 3300407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504000).

3300407640 is an abundant number, since it is smaller than the sum of its proper divisors (8166600360).

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

3300407640 is a wasteful number, since it uses less digits than its factorization.

3300407640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3300407640 is about 57449.1744066005. The cubic root of 3300407640 is about 1488.8668531263.

Adding to 3300407640 its reverse (467040033), we get a palindrome (3767447673).

The spelling of 3300407640 in words is "three billion, three hundred million, four hundred seven thousand, six hundred forty".