3654058980 has 192 divisors, whose sum is σ = 12115547136. Its totient is φ = 811200000.

The previous prime is 3654058979. The next prime is 3654058997. The reversal of 3654058980 is 898504563.

It is a happy number.

3654058980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122355 + ... + 1125605.

It is an arithmetic number, because the mean of its divisors is an integer number (63101808).

Almost surely, 2^3654058980 is an apocalyptic number.

3654058980 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 3654058980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057773568).

3654058980 is an abundant number, since it is smaller than the sum of its proper divisors (8461488156).

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

3654058980 is a wasteful number, since it uses less digits than its factorization.

3654058980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 3654058980 is about 60448.8128915697. The cubic root of 3654058980 is about 1540.2522468686.

The spelling of 3654058980 in words is "three billion, six hundred fifty-four million, fifty-eight thousand, nine hundred eighty".