3662574480 has 60 divisors (see below), whose sum is σ = 12300148380. Its totient is φ = 976686336.

The previous prime is 3662574473. The next prime is 3662574481. The reversal of 3662574480 is 844752663.

3662574480 is a `hidden beast` number, since 36 + 6 + 2 + 574 + 48 + 0 = 666.

3662574480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2172305664 + 1490268816 = 46608^2 + 38604^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (3662574481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2542735 + ... + 2544174.

It is an arithmetic number, because the mean of its divisors is an integer number (205002473).

Almost surely, 2^3662574480 is an apocalyptic number.

3662574480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3662574480 is an abundant number, since it is smaller than the sum of its proper divisors (8637573900).

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

3662574480 is a wasteful number, since it uses less digits than its factorization.

3662574480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086928 (or 5086919 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3662574480 is about 60519.2075295108. The cubic root of 3662574480 is about 1541.4477979558.

The spelling of 3662574480 in words is "three billion, six hundred sixty-two million, five hundred seventy-four thousand, four hundred eighty".