3339606251520 has 4608 divisors, whose sum is σ = 16955611545600. Its totient is φ = 586049126400.

The previous prime is 3339606251497. The next prime is 3339606251573. The reversal of 3339606251520 is 251526069333.

It is a happy number.

3339606251520 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 6 + 0 + 625 + 15 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×3339606251520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71055452137 + ... + 71055452183.

It is an arithmetic number, because the mean of its divisors is an integer number (3679603200).

Almost surely, 2^{3339606251520} is an apocalyptic number.

3339606251520 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 3339606251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477805772800).

3339606251520 is an abundant number, since it is smaller than the sum of its proper divisors (13616005294080).

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

3339606251520 is a wasteful number, since it uses less digits than its factorization.

3339606251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 3339606251520 in words is "three trillion, three hundred thirty-nine billion, six hundred six million, two hundred fifty-one thousand, five hundred twenty".