3685294080 has 336 divisors, whose sum is σ = 13775481720. Its totient is φ = 905969664.

The previous prime is 3685294069. The next prime is 3685294099. The reversal of 3685294080 is 804925863.

3685294080 is a `hidden beast` number, since 3 + 6 + 8 + 529 + 40 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2105708544 + 1579585536 = 45888^2 + 39744^2 .

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

It is a nialpdrome in base 16.

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 23 ways as a sum of consecutive naturals, for example, 4791936 + ... + 4792704.

Almost surely, 2^3685294080 is an apocalyptic number.

3685294080 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 3685294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887740860).

3685294080 is an abundant number, since it is smaller than the sum of its proper divisors (10090187640).

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

3685294080 is a wasteful number, since it uses less digits than its factorization.

3685294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3685294080 is about 60706.6230324171. The cubic root of 3685294080 is about 1544.6285216171.

The spelling of 3685294080 in words is "three billion, six hundred eighty-five million, two hundred ninety-four thousand, eighty".