3428574635520 has 960 divisors, whose sum is σ = 12544068753216. Its totient is φ = 897387724800.

The previous prime is 3428574635483. The next prime is 3428574635527. The reversal of 3428574635520 is 255364758243.

3428574635520 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 57 + 4 + 63 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3428574635520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428574635527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12377525622 + ... + 12377525898.

Almost surely, 2^{3428574635520} is an apocalyptic number.

3428574635520 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 3428574635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272034376608).

3428574635520 is an abundant number, since it is smaller than the sum of its proper divisors (9115494117696).

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

3428574635520 is a wasteful number, since it uses less digits than its factorization.

3428574635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 3428574635520 in words is "three trillion, four hundred twenty-eight billion, five hundred seventy-four million, six hundred thirty-five thousand, five hundred twenty".