3304136640 has 168 divisors, whose sum is σ = 12203564112. Its totient is φ = 755220480.

The previous prime is 3304136629. The next prime is 3304136657. The reversal of 3304136640 is 466314033.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3304136598 and 3304136607.

It is a congruent number.

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, 11920 + ... + 82160.

Almost surely, 2^3304136640 is an apocalyptic number.

3304136640 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 3304136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101782056).

3304136640 is an abundant number, since it is smaller than the sum of its proper divisors (8899427472).

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

3304136640 is a wasteful number, since it uses less digits than its factorization.

3304136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70275 (or 70258 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3304136640 is about 57481.6200189243. The cubic root of 3304136640 is about 1489.4273793222.

The spelling of 3304136640 in words is "three billion, three hundred four million, one hundred thirty-six thousand, six hundred forty".