3690478080 has 240 divisors, whose sum is σ = 13196012544. Its totient is φ = 952197120.

The previous prime is 3690477919. The next prime is 3690478081. The reversal of 3690478080 is 808740963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (3690478081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711657 + ... + 716823.

Almost surely, 2^3690478080 is an apocalyptic number.

3690478080 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 3690478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598006272).

3690478080 is an abundant number, since it is smaller than the sum of its proper divisors (9505534464).

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

3690478080 is a wasteful number, since it uses less digits than its factorization.

3690478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3690478080 is about 60749.3051812117. The cubic root of 3690478080 is about 1545.3524441806.

The spelling of 3690478080 in words is "three billion, six hundred ninety million, four hundred seventy-eight thousand, eighty".