3658042080 has 576 divisors, whose sum is σ = 16257749760. Its totient is φ = 759628800.

The previous prime is 3658042021. The next prime is 3658042103. The reversal of 3658042080 is 802408563.

3658042080 is a `hidden beast` number, since 36 + 580 + 42 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2327695 + ... + 2329265.

It is an arithmetic number, because the mean of its divisors is an integer number (28225260).

Almost surely, 2^3658042080 is an apocalyptic number.

3658042080 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 3658042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128874880).

3658042080 is an abundant number, since it is smaller than the sum of its proper divisors (12599707680).

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

3658042080 is a wasteful number, since it uses less digits than its factorization.

3658042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3658042080 is about 60481.7499746824. The cubic root of 3658042080 is about 1540.8116933149.

The spelling of 3658042080 in words is "three billion, six hundred fifty-eight million, forty-two thousand, eighty".