3409308672 has 528 divisors, whose sum is σ = 12097278720. Its totient is φ = 842956800.

The previous prime is 3409308647. The next prime is 3409308697. The reversal of 3409308672 is 2768039043.

It is an interprime number because it is at equal distance from previous prime (3409308647) and next prime (3409308697).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48018397 + ... + 48018467.

Almost surely, 2^3409308672 is an apocalyptic number.

3409308672 is a gapful number since it is divisible by the number (32) 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 3409308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048639360).

3409308672 is an abundant number, since it is smaller than the sum of its proper divisors (8687970048).

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

3409308672 is a wasteful number, since it uses less digits than its factorization.

3409308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3409308672 is about 58389.2855924784. The cubic root of 3409308672 is about 1505.0656398269.

The spelling of 3409308672 in words is "three billion, four hundred nine million, three hundred eight thousand, six hundred seventy-two".