3074575680 has 672 divisors, whose sum is σ = 12322747008. Its totient is φ = 696729600.

The previous prime is 3074575667. The next prime is 3074575697. The reversal of 3074575680 is 865754703.

3074575680 is a `hidden beast` number, since 3 + 0 + 74 + 575 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×3074575680² = 18906031224094924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50402850 + ... + 50402910.

Almost surely, 2^3074575680 is an apocalyptic number.

3074575680 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 3074575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161373504).

3074575680 is an abundant number, since it is smaller than the sum of its proper divisors (9248171328).

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

3074575680 is a wasteful number, since it uses less digits than its factorization.

3074575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3074575680 is about 55448.8564354577. The cubic root of 3074575680 is about 1454.1026386516.

The spelling of 3074575680 in words is "three billion, seventy-four million, five hundred seventy-five thousand, six hundred eighty".