3352364209920 has 576 divisors, whose sum is σ = 11845524063744. Its totient is φ = 801215938560.

The previous prime is 3352364209903. The next prime is 3352364209937. The reversal of 3352364209920 is 299024632533.

It is an interprime number because it is at equal distance from previous prime (3352364209903) and next prime (3352364209937).

It is a super-2 number, since 2×3352364209920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3352364209920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2710075542 + ... + 2710076778.

It is an arithmetic number, because the mean of its divisors is an integer number (20565145944).

Almost surely, 2^{3352364209920} is an apocalyptic number.

3352364209920 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 3352364209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922762031872).

3352364209920 is an abundant number, since it is smaller than the sum of its proper divisors (8493159853824).

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

3352364209920 is a wasteful number, since it uses less digits than its factorization.

3352364209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 3352364209920 in words is "three trillion, three hundred fifty-two billion, three hundred sixty-four million, two hundred nine thousand, nine hundred twenty".