3364427520 has 216 divisors, whose sum is σ = 12017346432. Its totient is φ = 868147200.

The previous prime is 3364427519. The next prime is 3364427567. The reversal of 3364427520 is 257244633.

3364427520 is a `hidden beast` number, since 3 + 3 + 644 + 2 + 7 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×3364427520² = 22638745074666700800, which 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 23 ways as a sum of consecutive naturals, for example, 352410 + ... + 361830.

Almost surely, 2^3364427520 is an apocalyptic number.

3364427520 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 3364427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008673216).

3364427520 is an abundant number, since it is smaller than the sum of its proper divisors (8652918912).

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

3364427520 is a wasteful number, since it uses less digits than its factorization.

3364427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9479 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3364427520 is about 58003.6854001537. The cubic root of 3364427520 is about 1498.4320682978.

The spelling of 3364427520 in words is "three billion, three hundred sixty-four million, four hundred twenty-seven thousand, five hundred twenty".