3213415505520 has 480 divisors, whose sum is σ = 11840069329920. Its totient is φ = 774571714560.

The previous prime is 3213415505497. The next prime is 3213415505539. The reversal of 3213415505520 is 255055143123.

3213415505520 is a `hidden beast` number, since 3 + 2 + 1 + 34 + 1 + 550 + 55 + 20 = 666.

It is a super-2 number, since 2×3213415505520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1101615102 + ... + 1101618018.

It is an arithmetic number, because the mean of its divisors is an integer number (24666811104).

Almost surely, 2^{3213415505520} is an apocalyptic number.

3213415505520 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 3213415505520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920034664960).

3213415505520 is an abundant number, since it is smaller than the sum of its proper divisors (8626653824400).

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

3213415505520 is a wasteful number, since it uses less digits than its factorization.

3213415505520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 3213415505520 in words is "three trillion, two hundred thirteen billion, four hundred fifteen million, five hundred five thousand, five hundred twenty".