3608478720 has 880 divisors, whose sum is σ = 16264119168. Its totient is φ = 743178240.

The previous prime is 3608478707. The next prime is 3608478791. The reversal of 3608478720 is 278748063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×3608478720² = 26042237345385676800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933384 + ... + 31933496.

Almost surely, 2^3608478720 is an apocalyptic number.

3608478720 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 3608478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132059584).

3608478720 is an abundant number, since it is smaller than the sum of its proper divisors (12655640448).

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

3608478720 is a wasteful number, since it uses less digits than its factorization.

3608478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3608478720 is about 60070.6144466660. The cubic root of 3608478720 is about 1533.8211294061.

The spelling of 3608478720 in words is "three billion, six hundred eight million, four hundred seventy-eight thousand, seven hundred twenty".