3385361520 has 80 divisors (see below), whose sum is σ = 11660697120. Its totient is φ = 902762496.

The previous prime is 3385361489. The next prime is 3385361593. The reversal of 3385361520 is 251635833.

3385361520 is a `hidden beast` number, since 3 + 38 + 5 + 3 + 615 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3385361520² = 22921345242193420800, 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 15 ways as a sum of consecutive naturals, for example, 781489 + ... + 785808.

It is an arithmetic number, because the mean of its divisors is an integer number (145758714).

Almost surely, 2^3385361520 is an apocalyptic number.

3385361520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3385361520 is an abundant number, since it is smaller than the sum of its proper divisors (8275335600).

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

3385361520 is a wasteful number, since it uses less digits than its factorization.

3385361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567319 (or 1567307 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3385361520 is about 58183.8596175950. The cubic root of 3385361520 is about 1501.5334717753.

The spelling of 3385361520 in words is "three billion, three hundred eighty-five million, three hundred sixty-one thousand, five hundred twenty".