3402209520 has 240 divisors, whose sum is σ = 12024334560. Its totient is φ = 884183040.

The previous prime is 3402209509. The next prime is 3402209593. The reversal of 3402209520 is 259022043.

3402209520 is a `hidden beast` number, since 3 + 402 + 209 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 3630492 + ... + 3631428.

It is an arithmetic number, because the mean of its divisors is an integer number (50101394).

Almost surely, 2^3402209520 is an apocalyptic number.

3402209520 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 3402209520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012167280).

3402209520 is an abundant number, since it is smaller than the sum of its proper divisors (8622125040).

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

3402209520 is a wasteful number, since it uses less digits than its factorization.

3402209520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3402209520 is about 58328.4623490111. The cubic root of 3402209520 is about 1504.0202554047.

The spelling of 3402209520 in words is "three billion, four hundred two million, two hundred nine thousand, five hundred twenty".