3654766080 has 960 divisors, whose sum is σ = 16178393088. Its totient is φ = 743178240.

The previous prime is 3654766069. The next prime is 3654766127. The reversal of 3654766080 is 806674563.

3654766080 is a `hidden beast` number, since 36 + 5 + 4 + 7 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84994539 + ... + 84994581.

Almost surely, 2^3654766080 is an apocalyptic number.

3654766080 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 3654766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089196544).

3654766080 is an abundant number, since it is smaller than the sum of its proper divisors (12523627008).

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

3654766080 is a wasteful number, since it uses less digits than its factorization.

3654766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3654766080 is about 60454.6613587406. The cubic root of 3654766080 is about 1540.3515922929.

The spelling of 3654766080 in words is "three billion, six hundred fifty-four million, seven hundred sixty-six thousand, eighty".