3575940480 has 1024 divisors, whose sum is σ = 16074547200. Its totient is φ = 732561408.

The previous prime is 3575940413. The next prime is 3575940493. The reversal of 3575940480 is 840495753.

3575940480 is a `hidden beast` number, since 3 + 57 + 594 + 0 + 4 + 8 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76083817 + ... + 76083863.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 2^3575940480 is an apocalyptic number.

3575940480 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 3575940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037273600).

3575940480 is an abundant number, since it is smaller than the sum of its proper divisors (12498606720).

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

3575940480 is a wasteful number, since it uses less digits than its factorization.

3575940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3575940480 is about 59799.1678871872. The cubic root of 3575940480 is about 1529.1969642133.

The spelling of 3575940480 in words is "three billion, five hundred seventy-five million, nine hundred forty thousand, four hundred eighty".